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Finding the Fourth Proportional to 13,385.99, 20,073.15 and 7,144.61

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Solution

The fourth proportional to 13,385.99, 20,073.15 and 7,144.61 is: 10,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.99 : 20,073.15 = 7,144.61 : x
  2. Step 2: Convert to fraction form
    13,385.99/20,073.15 = 7,144.61/x
  3. Step 3: Cross multiply
    13,385.99x = 20,073.15 × 7,144.61
  4. Step 4: Simplify right side
    13,385.99x = 143,414,727.86
  5. Step 5: Solve for x
    x = 143,414,727.86/13,385.99
  6. Step 6: Final answer
    x = 10,713.80

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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.