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Finding the Fourth Proportional to 14,872.49, 20,524.31 and 8,158.46

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Solution

The fourth proportional to 14,872.49, 20,524.31 and 8,158.46 is: 11,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.49 : 20,524.31 = 8,158.46 : x
  2. Step 2: Convert to fraction form
    14,872.49/20,524.31 = 8,158.46/x
  3. Step 3: Cross multiply
    14,872.49x = 20,524.31 × 8,158.46
  4. Step 4: Simplify right side
    14,872.49x = 167,446,833.87
  5. Step 5: Solve for x
    x = 167,446,833.87/14,872.49
  6. Step 6: Final answer
    x = 11,258.83

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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.