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Finding the Fourth Proportional to 13,057.90, 18,024.01 and 8,342.18

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Solution

The fourth proportional to 13,057.90, 18,024.01 and 8,342.18 is: 11,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.90 : 18,024.01 = 8,342.18 : x
  2. Step 2: Convert to fraction form
    13,057.90/18,024.01 = 8,342.18/x
  3. Step 3: Cross multiply
    13,057.90x = 18,024.01 × 8,342.18
  4. Step 4: Simplify right side
    13,057.90x = 150,359,535.74
  5. Step 5: Solve for x
    x = 150,359,535.74/13,057.90
  6. Step 6: Final answer
    x = 11,514.83

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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.