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Finding the Fourth Proportional to 18,132.64, 25,023.18 and 11,845

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Solution

The fourth proportional to 18,132.64, 25,023.18 and 11,845 is: 16,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132.64 : 25,023.18 = 11,845 : x
  2. Step 2: Convert to fraction form
    18,132.64/25,023.18 = 11,845/x
  3. Step 3: Cross multiply
    18,132.64x = 25,023.18 × 11,845
  4. Step 4: Simplify right side
    18,132.64x = 296,399,567.10
  5. Step 5: Solve for x
    x = 296,399,567.10/18,132.64
  6. Step 6: Final answer
    x = 16,346.19

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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.