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Finding the Fourth Proportional to 38,585.39, 57,882.74 and 13,620.32

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Solution

The fourth proportional to 38,585.39, 57,882.74 and 13,620.32 is: 20,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585.39 : 57,882.74 = 13,620.32 : x
  2. Step 2: Convert to fraction form
    38,585.39/57,882.74 = 13,620.32/x
  3. Step 3: Cross multiply
    38,585.39x = 57,882.74 × 13,620.32
  4. Step 4: Simplify right side
    38,585.39x = 788,381,083.76
  5. Step 5: Solve for x
    x = 788,381,083.76/38,585.39
  6. Step 6: Final answer
    x = 20,432.12

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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.