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Finding the Fourth Proportional to 16,414.24, 24,618.88 and 5,321.28

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Solution

The fourth proportional to 16,414.24, 24,618.88 and 5,321.28 is: 7,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.24 : 24,618.88 = 5,321.28 : x
  2. Step 2: Convert to fraction form
    16,414.24/24,618.88 = 5,321.28/x
  3. Step 3: Cross multiply
    16,414.24x = 24,618.88 × 5,321.28
  4. Step 4: Simplify right side
    16,414.24x = 131,003,953.77
  5. Step 5: Solve for x
    x = 131,003,953.77/16,414.24
  6. Step 6: Final answer
    x = 7,981.12

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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.