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Finding the Fourth Proportional to 15,632.96, 23,449.92 and 6,863.36

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Solution

The fourth proportional to 15,632.96, 23,449.92 and 6,863.36 is: 10,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.96 : 23,449.92 = 6,863.36 : x
  2. Step 2: Convert to fraction form
    15,632.96/23,449.92 = 6,863.36/x
  3. Step 3: Cross multiply
    15,632.96x = 23,449.92 × 6,863.36
  4. Step 4: Simplify right side
    15,632.96x = 160,945,242.93
  5. Step 5: Solve for x
    x = 160,945,242.93/15,632.96
  6. Step 6: Final answer
    x = 10,295.25

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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.