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Finding the Fourth Proportional to 24,169.44, 33,355.20 and 13,560

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Solution

The fourth proportional to 24,169.44, 33,355.20 and 13,560 is: 18,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,169.44 : 33,355.20 = 13,560 : x
  2. Step 2: Convert to fraction form
    24,169.44/33,355.20 = 13,560/x
  3. Step 3: Cross multiply
    24,169.44x = 33,355.20 × 13,560
  4. Step 4: Simplify right side
    24,169.44x = 452,296,512.00
  5. Step 5: Solve for x
    x = 452,296,512.00/24,169.44
  6. Step 6: Final answer
    x = 18,713.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.