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Finding the Fourth Proportional to 16,126.56, 22,257 and 9,414.18

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Solution

The fourth proportional to 16,126.56, 22,257 and 9,414.18 is: 12,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.56 : 22,257 = 9,414.18 : x
  2. Step 2: Convert to fraction form
    16,126.56/22,257 = 9,414.18/x
  3. Step 3: Cross multiply
    16,126.56x = 22,257 × 9,414.18
  4. Step 4: Simplify right side
    16,126.56x = 209,531,404.26
  5. Step 5: Solve for x
    x = 209,531,404.26/16,126.56
  6. Step 6: Final answer
    x = 12,992.94

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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.