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Finding the Fourth Proportional to 12,423.97, 17,136.12 and 7,116.85

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Solution

The fourth proportional to 12,423.97, 17,136.12 and 7,116.85 is: 9,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.97 : 17,136.12 = 7,116.85 : x
  2. Step 2: Convert to fraction form
    12,423.97/17,136.12 = 7,116.85/x
  3. Step 3: Cross multiply
    12,423.97x = 17,136.12 × 7,116.85
  4. Step 4: Simplify right side
    12,423.97x = 121,955,195.62
  5. Step 5: Solve for x
    x = 121,955,195.62/12,423.97
  6. Step 6: Final answer
    x = 9,816.12

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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.