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Finding the Fourth Proportional to 38,416.68, 57,593.34 and 12,105

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Solution

The fourth proportional to 38,416.68, 57,593.34 and 12,105 is: 18,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416.68 : 57,593.34 = 12,105 : x
  2. Step 2: Convert to fraction form
    38,416.68/57,593.34 = 12,105/x
  3. Step 3: Cross multiply
    38,416.68x = 57,593.34 × 12,105
  4. Step 4: Simplify right side
    38,416.68x = 697,167,380.70
  5. Step 5: Solve for x
    x = 697,167,380.70/38,416.68
  6. Step 6: Final answer
    x = 18,147.52

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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.