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Finding the Fourth Proportional to 19,425.13, 29,139.17 and 5,385

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Solution

The fourth proportional to 19,425.13, 29,139.17 and 5,385 is: 8,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425.13 : 29,139.17 = 5,385 : x
  2. Step 2: Convert to fraction form
    19,425.13/29,139.17 = 5,385/x
  3. Step 3: Cross multiply
    19,425.13x = 29,139.17 × 5,385
  4. Step 4: Simplify right side
    19,425.13x = 156,914,430.45
  5. Step 5: Solve for x
    x = 156,914,430.45/19,425.13
  6. Step 6: Final answer
    x = 8,077.91

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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.