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Finding the Fourth Proportional to 22,831.60, 34,247.40 and 15,833.20

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Solution

The fourth proportional to 22,831.60, 34,247.40 and 15,833.20 is: 23,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.60 : 34,247.40 = 15,833.20 : x
  2. Step 2: Convert to fraction form
    22,831.60/34,247.40 = 15,833.20/x
  3. Step 3: Cross multiply
    22,831.60x = 34,247.40 × 15,833.20
  4. Step 4: Simplify right side
    22,831.60x = 542,245,933.68
  5. Step 5: Solve for x
    x = 542,245,933.68/22,831.60
  6. Step 6: Final answer
    x = 23,749.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.