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Finding the Fourth Proportional to 16,277.25, 24,398.85 and 7,517.91

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Solution

The fourth proportional to 16,277.25, 24,398.85 and 7,517.91 is: 11,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.25 : 24,398.85 = 7,517.91 : x
  2. Step 2: Convert to fraction form
    16,277.25/24,398.85 = 7,517.91/x
  3. Step 3: Cross multiply
    16,277.25x = 24,398.85 × 7,517.91
  4. Step 4: Simplify right side
    16,277.25x = 183,428,358.40
  5. Step 5: Solve for x
    x = 183,428,358.40/16,277.25
  6. Step 6: Final answer
    x = 11,269.00

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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.