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Finding the Fourth Proportional to 13,608.64, 18,781.96 and 8,306.53

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Solution

The fourth proportional to 13,608.64, 18,781.96 and 8,306.53 is: 11,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.64 : 18,781.96 = 8,306.53 : x
  2. Step 2: Convert to fraction form
    13,608.64/18,781.96 = 8,306.53/x
  3. Step 3: Cross multiply
    13,608.64x = 18,781.96 × 8,306.53
  4. Step 4: Simplify right side
    13,608.64x = 156,012,967.70
  5. Step 5: Solve for x
    x = 156,012,967.70/13,608.64
  6. Step 6: Final answer
    x = 11,464.26

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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.