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Finding the Fourth Proportional to 25,842.01, 38,763.17 and 9,202.69

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Solution

The fourth proportional to 25,842.01, 38,763.17 and 9,202.69 is: 13,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.01 : 38,763.17 = 9,202.69 : x
  2. Step 2: Convert to fraction form
    25,842.01/38,763.17 = 9,202.69/x
  3. Step 3: Cross multiply
    25,842.01x = 38,763.17 × 9,202.69
  4. Step 4: Simplify right side
    25,842.01x = 356,725,390.91
  5. Step 5: Solve for x
    x = 356,725,390.91/25,842.01
  6. Step 6: Final answer
    x = 13,804.09

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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.