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Finding the Fourth Proportional to 15,236.96, 22,857.84 and 6,471.92

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Solution

The fourth proportional to 15,236.96, 22,857.84 and 6,471.92 is: 9,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,236.96 : 22,857.84 = 6,471.92 : x
  2. Step 2: Convert to fraction form
    15,236.96/22,857.84 = 6,471.92/x
  3. Step 3: Cross multiply
    15,236.96x = 22,857.84 × 6,471.92
  4. Step 4: Simplify right side
    15,236.96x = 147,934,111.85
  5. Step 5: Solve for x
    x = 147,934,111.85/15,236.96
  6. Step 6: Final answer
    x = 9,708.90

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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.