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Finding the Fourth Proportional to 15,909.54, 23,849.70 and 5,514

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Solution

The fourth proportional to 15,909.54, 23,849.70 and 5,514 is: 8,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.54 : 23,849.70 = 5,514 : x
  2. Step 2: Convert to fraction form
    15,909.54/23,849.70 = 5,514/x
  3. Step 3: Cross multiply
    15,909.54x = 23,849.70 × 5,514
  4. Step 4: Simplify right side
    15,909.54x = 131,507,245.80
  5. Step 5: Solve for x
    x = 131,507,245.80/15,909.54
  6. Step 6: Final answer
    x = 8,265.94

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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.