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Finding the Fourth Proportional to 16,417.62, 24,662.88 and 10,182.24

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Solution

The fourth proportional to 16,417.62, 24,662.88 and 10,182.24 is: 15,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.62 : 24,662.88 = 10,182.24 : x
  2. Step 2: Convert to fraction form
    16,417.62/24,662.88 = 10,182.24/x
  3. Step 3: Cross multiply
    16,417.62x = 24,662.88 × 10,182.24
  4. Step 4: Simplify right side
    16,417.62x = 251,123,363.25
  5. Step 5: Solve for x
    x = 251,123,363.25/16,417.62
  6. Step 6: Final answer
    x = 15,295.97

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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.