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Finding the Fourth Proportional to 16,832.81, 25,216.85 and 9,414.78

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Solution

The fourth proportional to 16,832.81, 25,216.85 and 9,414.78 is: 14,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.81 : 25,216.85 = 9,414.78 : x
  2. Step 2: Convert to fraction form
    16,832.81/25,216.85 = 9,414.78/x
  3. Step 3: Cross multiply
    16,832.81x = 25,216.85 × 9,414.78
  4. Step 4: Simplify right side
    16,832.81x = 237,411,047.97
  5. Step 5: Solve for x
    x = 237,411,047.97/16,832.81
  6. Step 6: Final answer
    x = 14,104.07

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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.