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Finding the Fourth Proportional to 14,872.47, 20,523.85 and 8,157.97

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Solution

The fourth proportional to 14,872.47, 20,523.85 and 8,157.97 is: 11,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.47 : 20,523.85 = 8,157.97 : x
  2. Step 2: Convert to fraction form
    14,872.47/20,523.85 = 8,157.97/x
  3. Step 3: Cross multiply
    14,872.47x = 20,523.85 × 8,157.97
  4. Step 4: Simplify right side
    14,872.47x = 167,432,952.58
  5. Step 5: Solve for x
    x = 167,432,952.58/14,872.47
  6. Step 6: Final answer
    x = 11,257.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.