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Finding the Fourth Proportional to 23,486,509.80, 35,229,764.70 and 13,408,813.80

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Solution

The fourth proportional to 23,486,509.80, 35,229,764.70 and 13,408,813.80 is: 20,113,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486,509.80 : 35,229,764.70 = 13,408,813.80 : x
  2. Step 2: Convert to fraction form
    23,486,509.80/35,229,764.70 = 13,408,813.80/x
  3. Step 3: Cross multiply
    23,486,509.80x = 35,229,764.70 × 13,408,813.80
  4. Step 4: Simplify right side
    23,486,509.80x = 472,389,355,080,112.94
  5. Step 5: Solve for x
    x = 472,389,355,080,112.94/23,486,509.80
  6. Step 6: Final answer
    x = 20,113,220.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.