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Finding the Fourth Proportional to 38,587.20, 57,843.84 and 12,277.44

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Solution

The fourth proportional to 38,587.20, 57,843.84 and 12,277.44 is: 18,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,587.20 : 57,843.84 = 12,277.44 : x
  2. Step 2: Convert to fraction form
    38,587.20/57,843.84 = 12,277.44/x
  3. Step 3: Cross multiply
    38,587.20x = 57,843.84 × 12,277.44
  4. Step 4: Simplify right side
    38,587.20x = 710,174,274.97
  5. Step 5: Solve for x
    x = 710,174,274.97/38,587.20
  6. Step 6: Final answer
    x = 18,404.40

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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.