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Finding the Fourth Proportional to 16,213.72, 22,374.90 and 9,140.20

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Solution

The fourth proportional to 16,213.72, 22,374.90 and 9,140.20 is: 12,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.72 : 22,374.90 = 9,140.20 : x
  2. Step 2: Convert to fraction form
    16,213.72/22,374.90 = 9,140.20/x
  3. Step 3: Cross multiply
    16,213.72x = 22,374.90 × 9,140.20
  4. Step 4: Simplify right side
    16,213.72x = 204,511,060.98
  5. Step 5: Solve for x
    x = 204,511,060.98/16,213.72
  6. Step 6: Final answer
    x = 12,613.46

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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.