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Finding the Fourth Proportional to 25,095.57, 37,648.92 and 7,564.13

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Solution

The fourth proportional to 25,095.57, 37,648.92 and 7,564.13 is: 11,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,095.57 : 37,648.92 = 7,564.13 : x
  2. Step 2: Convert to fraction form
    25,095.57/37,648.92 = 7,564.13/x
  3. Step 3: Cross multiply
    25,095.57x = 37,648.92 × 7,564.13
  4. Step 4: Simplify right side
    25,095.57x = 284,781,447.73
  5. Step 5: Solve for x
    x = 284,781,447.73/25,095.57
  6. Step 6: Final answer
    x = 11,347.88

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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.