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Finding the Fourth Proportional to 12,816.78, 17,686.68 and 7,151.79

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Solution

The fourth proportional to 12,816.78, 17,686.68 and 7,151.79 is: 9,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.78 : 17,686.68 = 7,151.79 : x
  2. Step 2: Convert to fraction form
    12,816.78/17,686.68 = 7,151.79/x
  3. Step 3: Cross multiply
    12,816.78x = 17,686.68 × 7,151.79
  4. Step 4: Simplify right side
    12,816.78x = 126,491,421.16
  5. Step 5: Solve for x
    x = 126,491,421.16/12,816.78
  6. Step 6: Final answer
    x = 9,869.20

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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.