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Finding the Fourth Proportional to 25,842.36, 38,752.11 and 9,202.02

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Solution

The fourth proportional to 25,842.36, 38,752.11 and 9,202.02 is: 13,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.36 : 38,752.11 = 9,202.02 : x
  2. Step 2: Convert to fraction form
    25,842.36/38,752.11 = 9,202.02/x
  3. Step 3: Cross multiply
    25,842.36x = 38,752.11 × 9,202.02
  4. Step 4: Simplify right side
    25,842.36x = 356,597,691.26
  5. Step 5: Solve for x
    x = 356,597,691.26/25,842.36
  6. Step 6: Final answer
    x = 13,798.96

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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.