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Finding the Fourth Proportional to 38,573.68, 57,859.92 and 12,278.04

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Solution

The fourth proportional to 38,573.68, 57,859.92 and 12,278.04 is: 18,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.68 : 57,859.92 = 12,278.04 : x
  2. Step 2: Convert to fraction form
    38,573.68/57,859.92 = 12,278.04/x
  3. Step 3: Cross multiply
    38,573.68x = 57,859.92 × 12,278.04
  4. Step 4: Simplify right side
    38,573.68x = 710,406,350.77
  5. Step 5: Solve for x
    x = 710,406,350.77/38,573.68
  6. Step 6: Final answer
    x = 18,416.87

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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.