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Finding the Fourth Proportional to 16,966.18, 23,414.99 and 9,412.53

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Solution

The fourth proportional to 16,966.18, 23,414.99 and 9,412.53 is: 12,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.18 : 23,414.99 = 9,412.53 : x
  2. Step 2: Convert to fraction form
    16,966.18/23,414.99 = 9,412.53/x
  3. Step 3: Cross multiply
    16,966.18x = 23,414.99 × 9,412.53
  4. Step 4: Simplify right side
    16,966.18x = 220,394,295.82
  5. Step 5: Solve for x
    x = 220,394,295.82/16,966.18
  6. Step 6: Final answer
    x = 12,990.21

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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.