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Finding the Fourth Proportional to 12,817.52, 17,691.40 and 7,231.76

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Solution

The fourth proportional to 12,817.52, 17,691.40 and 7,231.76 is: 9,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.52 : 17,691.40 = 7,231.76 : x
  2. Step 2: Convert to fraction form
    12,817.52/17,691.40 = 7,231.76/x
  3. Step 3: Cross multiply
    12,817.52x = 17,691.40 × 7,231.76
  4. Step 4: Simplify right side
    12,817.52x = 127,939,958.86
  5. Step 5: Solve for x
    x = 127,939,958.86/12,817.52
  6. Step 6: Final answer
    x = 9,981.65

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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.