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Finding the Fourth Proportional to 25,251.38, 37,882.54 and 9,669

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Solution

The fourth proportional to 25,251.38, 37,882.54 and 9,669 is: 14,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,251.38 : 37,882.54 = 9,669 : x
  2. Step 2: Convert to fraction form
    25,251.38/37,882.54 = 9,669/x
  3. Step 3: Cross multiply
    25,251.38x = 37,882.54 × 9,669
  4. Step 4: Simplify right side
    25,251.38x = 366,286,279.26
  5. Step 5: Solve for x
    x = 366,286,279.26/25,251.38
  6. Step 6: Final answer
    x = 14,505.59

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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.