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Finding the Fourth Proportional to 15,861.85, 23,803.54 and 8,471.61

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Solution

The fourth proportional to 15,861.85, 23,803.54 and 8,471.61 is: 12,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.85 : 23,803.54 = 8,471.61 : x
  2. Step 2: Convert to fraction form
    15,861.85/23,803.54 = 8,471.61/x
  3. Step 3: Cross multiply
    15,861.85x = 23,803.54 × 8,471.61
  4. Step 4: Simplify right side
    15,861.85x = 201,654,265.14
  5. Step 5: Solve for x
    x = 201,654,265.14/15,861.85
  6. Step 6: Final answer
    x = 12,713.17

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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.