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Finding the Fourth Proportional to 25,530.97, 38,296.47 and 8,002.17

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Solution

The fourth proportional to 25,530.97, 38,296.47 and 8,002.17 is: 12,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,530.97 : 38,296.47 = 8,002.17 : x
  2. Step 2: Convert to fraction form
    25,530.97/38,296.47 = 8,002.17/x
  3. Step 3: Cross multiply
    25,530.97x = 38,296.47 × 8,002.17
  4. Step 4: Simplify right side
    25,530.97x = 306,454,863.34
  5. Step 5: Solve for x
    x = 306,454,863.34/25,530.97
  6. Step 6: Final answer
    x = 12,003.26

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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.