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Finding the Fourth Proportional to 16,213.28, 22,374.94 and 9,139.54

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Solution

The fourth proportional to 16,213.28, 22,374.94 and 9,139.54 is: 12,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.28 : 22,374.94 = 9,139.54 : x
  2. Step 2: Convert to fraction form
    16,213.28/22,374.94 = 9,139.54/x
  3. Step 3: Cross multiply
    16,213.28x = 22,374.94 × 9,139.54
  4. Step 4: Simplify right side
    16,213.28x = 204,496,659.13
  5. Step 5: Solve for x
    x = 204,496,659.13/16,213.28
  6. Step 6: Final answer
    x = 12,612.91

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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.