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Finding the Fourth Proportional to 12,831.71, 17,707.85 and 7,166.53

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Solution

The fourth proportional to 12,831.71, 17,707.85 and 7,166.53 is: 9,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.71 : 17,707.85 = 7,166.53 : x
  2. Step 2: Convert to fraction form
    12,831.71/17,707.85 = 7,166.53/x
  3. Step 3: Cross multiply
    12,831.71x = 17,707.85 × 7,166.53
  4. Step 4: Simplify right side
    12,831.71x = 126,903,811.91
  5. Step 5: Solve for x
    x = 126,903,811.91/12,831.71
  6. Step 6: Final answer
    x = 9,889.86

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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.