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Finding the Fourth Proportional to 38,821.65, 58,232.43 and 12,167.82

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Solution

The fourth proportional to 38,821.65, 58,232.43 and 12,167.82 is: 18,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,821.65 : 58,232.43 = 12,167.82 : x
  2. Step 2: Convert to fraction form
    38,821.65/58,232.43 = 12,167.82/x
  3. Step 3: Cross multiply
    38,821.65x = 58,232.43 × 12,167.82
  4. Step 4: Simplify right side
    38,821.65x = 708,561,726.40
  5. Step 5: Solve for x
    x = 708,561,726.40/38,821.65
  6. Step 6: Final answer
    x = 18,251.72

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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.