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Finding the Fourth Proportional to 22,831.57, 34,198.80 and 10,967.92

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Solution

The fourth proportional to 22,831.57, 34,198.80 and 10,967.92 is: 16,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.57 : 34,198.80 = 10,967.92 : x
  2. Step 2: Convert to fraction form
    22,831.57/34,198.80 = 10,967.92/x
  3. Step 3: Cross multiply
    22,831.57x = 34,198.80 × 10,967.92
  4. Step 4: Simplify right side
    22,831.57x = 375,089,702.50
  5. Step 5: Solve for x
    x = 375,089,702.50/22,831.57
  6. Step 6: Final answer
    x = 16,428.55

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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.