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Finding the Fourth Proportional to 12,920.52, 17,831.97 and 7,883.68

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Solution

The fourth proportional to 12,920.52, 17,831.97 and 7,883.68 is: 10,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.52 : 17,831.97 = 7,883.68 : x
  2. Step 2: Convert to fraction form
    12,920.52/17,831.97 = 7,883.68/x
  3. Step 3: Cross multiply
    12,920.52x = 17,831.97 × 7,883.68
  4. Step 4: Simplify right side
    12,920.52x = 140,581,530.23
  5. Step 5: Solve for x
    x = 140,581,530.23/12,920.52
  6. Step 6: Final answer
    x = 10,880.48

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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.