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Finding the Fourth Proportional to 12,538.17, 17,304.57 and 7,231.86

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Solution

The fourth proportional to 12,538.17, 17,304.57 and 7,231.86 is: 9,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.17 : 17,304.57 = 7,231.86 : x
  2. Step 2: Convert to fraction form
    12,538.17/17,304.57 = 7,231.86/x
  3. Step 3: Cross multiply
    12,538.17x = 17,304.57 × 7,231.86
  4. Step 4: Simplify right side
    12,538.17x = 125,144,227.60
  5. Step 5: Solve for x
    x = 125,144,227.60/12,538.17
  6. Step 6: Final answer
    x = 9,981.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.