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Finding the Fourth Proportional to 15,235.92, 22,857.36 and 6,471.12

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Solution

The fourth proportional to 15,235.92, 22,857.36 and 6,471.12 is: 9,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.92 : 22,857.36 = 6,471.12 : x
  2. Step 2: Convert to fraction form
    15,235.92/22,857.36 = 6,471.12/x
  3. Step 3: Cross multiply
    15,235.92x = 22,857.36 × 6,471.12
  4. Step 4: Simplify right side
    15,235.92x = 147,912,719.44
  5. Step 5: Solve for x
    x = 147,912,719.44/15,235.92
  6. Step 6: Final answer
    x = 9,708.16

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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.