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Finding the Fourth Proportional to 38,585.72, 57,882 and 15,206.60

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Solution

The fourth proportional to 38,585.72, 57,882 and 15,206.60 is: 22,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585.72 : 57,882 = 15,206.60 : x
  2. Step 2: Convert to fraction form
    38,585.72/57,882 = 15,206.60/x
  3. Step 3: Cross multiply
    38,585.72x = 57,882 × 15,206.60
  4. Step 4: Simplify right side
    38,585.72x = 880,188,421.20
  5. Step 5: Solve for x
    x = 880,188,421.20/38,585.72
  6. Step 6: Final answer
    x = 22,811.25

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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.