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Finding the Fourth Proportional to 20,831.20, 31,253.20 and 16,450.40

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Solution

The fourth proportional to 20,831.20, 31,253.20 and 16,450.40 is: 24,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831.20 : 31,253.20 = 16,450.40 : x
  2. Step 2: Convert to fraction form
    20,831.20/31,253.20 = 16,450.40/x
  3. Step 3: Cross multiply
    20,831.20x = 31,253.20 × 16,450.40
  4. Step 4: Simplify right side
    20,831.20x = 514,127,641.28
  5. Step 5: Solve for x
    x = 514,127,641.28/20,831.20
  6. Step 6: Final answer
    x = 24,680.65

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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.