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Finding the Fourth Proportional to 13,445.12, 18,556.16 and 8,414.40

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Solution

The fourth proportional to 13,445.12, 18,556.16 and 8,414.40 is: 11,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,445.12 : 18,556.16 = 8,414.40 : x
  2. Step 2: Convert to fraction form
    13,445.12/18,556.16 = 8,414.40/x
  3. Step 3: Cross multiply
    13,445.12x = 18,556.16 × 8,414.40
  4. Step 4: Simplify right side
    13,445.12x = 156,138,952.70
  5. Step 5: Solve for x
    x = 156,138,952.70/13,445.12
  6. Step 6: Final answer
    x = 11,613.06

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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.