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Finding the Fourth Proportional to 20,201.40, 30,308.04 and 10,347.35

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Solution

The fourth proportional to 20,201.40, 30,308.04 and 10,347.35 is: 15,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.40 : 30,308.04 = 10,347.35 : x
  2. Step 2: Convert to fraction form
    20,201.40/30,308.04 = 10,347.35/x
  3. Step 3: Cross multiply
    20,201.40x = 30,308.04 × 10,347.35
  4. Step 4: Simplify right side
    20,201.40x = 313,607,746.15
  5. Step 5: Solve for x
    x = 313,607,746.15/20,201.40
  6. Step 6: Final answer
    x = 15,524.06

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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.