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Finding the Fourth Proportional to 15,520.68, 23,285.12 and 8,123.15

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Solution

The fourth proportional to 15,520.68, 23,285.12 and 8,123.15 is: 12,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520.68 : 23,285.12 = 8,123.15 : x
  2. Step 2: Convert to fraction form
    15,520.68/23,285.12 = 8,123.15/x
  3. Step 3: Cross multiply
    15,520.68x = 23,285.12 × 8,123.15
  4. Step 4: Simplify right side
    15,520.68x = 189,148,540.13
  5. Step 5: Solve for x
    x = 189,148,540.13/15,520.68
  6. Step 6: Final answer
    x = 12,186.87

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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.