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Finding the Fourth Proportional to 15,927.76, 23,896.50 and 8,142.04

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Solution

The fourth proportional to 15,927.76, 23,896.50 and 8,142.04 is: 12,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.76 : 23,896.50 = 8,142.04 : x
  2. Step 2: Convert to fraction form
    15,927.76/23,896.50 = 8,142.04/x
  3. Step 3: Cross multiply
    15,927.76x = 23,896.50 × 8,142.04
  4. Step 4: Simplify right side
    15,927.76x = 194,566,258.86
  5. Step 5: Solve for x
    x = 194,566,258.86/15,927.76
  6. Step 6: Final answer
    x = 12,215.54

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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.