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Finding the Fourth Proportional to 20,831.76, 28,747.71 and 11,400.12

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Solution

The fourth proportional to 20,831.76, 28,747.71 and 11,400.12 is: 15,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831.76 : 28,747.71 = 11,400.12 : x
  2. Step 2: Convert to fraction form
    20,831.76/28,747.71 = 11,400.12/x
  3. Step 3: Cross multiply
    20,831.76x = 28,747.71 × 11,400.12
  4. Step 4: Simplify right side
    20,831.76x = 327,727,343.73
  5. Step 5: Solve for x
    x = 327,727,343.73/20,831.76
  6. Step 6: Final answer
    x = 15,732.10

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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.