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Finding the Fourth Proportional to 42,286.70, 63,402.47 and 13,820.15

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Solution

The fourth proportional to 42,286.70, 63,402.47 and 13,820.15 is: 20,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,286.70 : 63,402.47 = 13,820.15 : x
  2. Step 2: Convert to fraction form
    42,286.70/63,402.47 = 13,820.15/x
  3. Step 3: Cross multiply
    42,286.70x = 63,402.47 × 13,820.15
  4. Step 4: Simplify right side
    42,286.70x = 876,231,259.66
  5. Step 5: Solve for x
    x = 876,231,259.66/42,286.70
  6. Step 6: Final answer
    x = 20,721.20

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