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Finding the Fourth Proportional to 16,349.28, 22,562.10 and 8,897.28

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Solution

The fourth proportional to 16,349.28, 22,562.10 and 8,897.28 is: 12,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.28 : 22,562.10 = 8,897.28 : x
  2. Step 2: Convert to fraction form
    16,349.28/22,562.10 = 8,897.28/x
  3. Step 3: Cross multiply
    16,349.28x = 22,562.10 × 8,897.28
  4. Step 4: Simplify right side
    16,349.28x = 200,741,321.09
  5. Step 5: Solve for x
    x = 200,741,321.09/16,349.28
  6. Step 6: Final answer
    x = 12,278.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.