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Finding the Fourth Proportional to 38,565.98, 57,855.46 and 12,278.78

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Solution

The fourth proportional to 38,565.98, 57,855.46 and 12,278.78 is: 18,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565.98 : 57,855.46 = 12,278.78 : x
  2. Step 2: Convert to fraction form
    38,565.98/57,855.46 = 12,278.78/x
  3. Step 3: Cross multiply
    38,565.98x = 57,855.46 × 12,278.78
  4. Step 4: Simplify right side
    38,565.98x = 710,394,465.14
  5. Step 5: Solve for x
    x = 710,394,465.14/38,565.98
  6. Step 6: Final answer
    x = 18,420.24

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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.