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Finding the Fourth Proportional to 12,831.86, 17,708.47 and 7,380.92

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Solution

The fourth proportional to 12,831.86, 17,708.47 and 7,380.92 is: 10,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.86 : 17,708.47 = 7,380.92 : x
  2. Step 2: Convert to fraction form
    12,831.86/17,708.47 = 7,380.92/x
  3. Step 3: Cross multiply
    12,831.86x = 17,708.47 × 7,380.92
  4. Step 4: Simplify right side
    12,831.86x = 130,704,747.36
  5. Step 5: Solve for x
    x = 130,704,747.36/12,831.86
  6. Step 6: Final answer
    x = 10,185.96

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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.