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Finding the Fourth Proportional to 12,831.68, 17,709.82 and 7,454.28

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Solution

The fourth proportional to 12,831.68, 17,709.82 and 7,454.28 is: 10,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.68 : 17,709.82 = 7,454.28 : x
  2. Step 2: Convert to fraction form
    12,831.68/17,709.82 = 7,454.28/x
  3. Step 3: Cross multiply
    12,831.68x = 17,709.82 × 7,454.28
  4. Step 4: Simplify right side
    12,831.68x = 132,013,957.03
  5. Step 5: Solve for x
    x = 132,013,957.03/12,831.68
  6. Step 6: Final answer
    x = 10,288.13

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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.