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Finding the Fourth Proportional to 25,497.12, 38,252.22 and 7,967.16

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Solution

The fourth proportional to 25,497.12, 38,252.22 and 7,967.16 is: 11,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.12 : 38,252.22 = 7,967.16 : x
  2. Step 2: Convert to fraction form
    25,497.12/38,252.22 = 7,967.16/x
  3. Step 3: Cross multiply
    25,497.12x = 38,252.22 × 7,967.16
  4. Step 4: Simplify right side
    25,497.12x = 304,761,557.10
  5. Step 5: Solve for x
    x = 304,761,557.10/25,497.12
  6. Step 6: Final answer
    x = 11,952.78

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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.