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Finding the Fourth Proportional to 24,012.29, 36,023.05 and 9,220.04

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Solution

The fourth proportional to 24,012.29, 36,023.05 and 9,220.04 is: 13,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012.29 : 36,023.05 = 9,220.04 : x
  2. Step 2: Convert to fraction form
    24,012.29/36,023.05 = 9,220.04/x
  3. Step 3: Cross multiply
    24,012.29x = 36,023.05 × 9,220.04
  4. Step 4: Simplify right side
    24,012.29x = 332,133,928.42
  5. Step 5: Solve for x
    x = 332,133,928.42/24,012.29
  6. Step 6: Final answer
    x = 13,831.83

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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.