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Finding the Fourth Proportional to 12,831.92, 17,712.24 and 8,054

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Solution

The fourth proportional to 12,831.92, 17,712.24 and 8,054 is: 11,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.92 : 17,712.24 = 8,054 : x
  2. Step 2: Convert to fraction form
    12,831.92/17,712.24 = 8,054/x
  3. Step 3: Cross multiply
    12,831.92x = 17,712.24 × 8,054
  4. Step 4: Simplify right side
    12,831.92x = 142,654,380.96
  5. Step 5: Solve for x
    x = 142,654,380.96/12,831.92
  6. Step 6: Final answer
    x = 11,117.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.