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Finding the Fourth Proportional to 12,816.70, 17,686.68 and 7,151.47

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Solution

The fourth proportional to 12,816.70, 17,686.68 and 7,151.47 is: 9,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.70 : 17,686.68 = 7,151.47 : x
  2. Step 2: Convert to fraction form
    12,816.70/17,686.68 = 7,151.47/x
  3. Step 3: Cross multiply
    12,816.70x = 17,686.68 × 7,151.47
  4. Step 4: Simplify right side
    12,816.70x = 126,485,761.42
  5. Step 5: Solve for x
    x = 126,485,761.42/12,816.70
  6. Step 6: Final answer
    x = 9,868.82

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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.