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Finding the Fourth Proportional to 12,513.56, 18,753.92 and 9,211.16

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Solution

The fourth proportional to 12,513.56, 18,753.92 and 9,211.16 is: 13,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.56 : 18,753.92 = 9,211.16 : x
  2. Step 2: Convert to fraction form
    12,513.56/18,753.92 = 9,211.16/x
  3. Step 3: Cross multiply
    12,513.56x = 18,753.92 × 9,211.16
  4. Step 4: Simplify right side
    12,513.56x = 172,745,357.75
  5. Step 5: Solve for x
    x = 172,745,357.75/12,513.56
  6. Step 6: Final answer
    x = 13,804.65

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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.