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Finding the Fourth Proportional to 16,200.90, 24,282.64 and 7,314.38

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Solution

The fourth proportional to 16,200.90, 24,282.64 and 7,314.38 is: 10,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.90 : 24,282.64 = 7,314.38 : x
  2. Step 2: Convert to fraction form
    16,200.90/24,282.64 = 7,314.38/x
  3. Step 3: Cross multiply
    16,200.90x = 24,282.64 × 7,314.38
  4. Step 4: Simplify right side
    16,200.90x = 177,612,456.36
  5. Step 5: Solve for x
    x = 177,612,456.36/16,200.90
  6. Step 6: Final answer
    x = 10,963.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.