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Finding the Fourth Proportional to 21,442.60, 32,171.20 and 13,535.92

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Solution

The fourth proportional to 21,442.60, 32,171.20 and 13,535.92 is: 20,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.60 : 32,171.20 = 13,535.92 : x
  2. Step 2: Convert to fraction form
    21,442.60/32,171.20 = 13,535.92/x
  3. Step 3: Cross multiply
    21,442.60x = 32,171.20 × 13,535.92
  4. Step 4: Simplify right side
    21,442.60x = 435,466,789.50
  5. Step 5: Solve for x
    x = 435,466,789.50/21,442.60
  6. Step 6: Final answer
    x = 20,308.49

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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.