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Finding the Fourth Proportional to 12,851.71, 17,739.83 and 8,831.85

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Solution

The fourth proportional to 12,851.71, 17,739.83 and 8,831.85 is: 12,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.71 : 17,739.83 = 8,831.85 : x
  2. Step 2: Convert to fraction form
    12,851.71/17,739.83 = 8,831.85/x
  3. Step 3: Cross multiply
    12,851.71x = 17,739.83 × 8,831.85
  4. Step 4: Simplify right side
    12,851.71x = 156,675,429.08
  5. Step 5: Solve for x
    x = 156,675,429.08/12,851.71
  6. Step 6: Final answer
    x = 12,191.02

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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.