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Finding the Fourth Proportional to 24,014.39, 36,023.31 and 9,223.30

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Solution

The fourth proportional to 24,014.39, 36,023.31 and 9,223.30 is: 13,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.39 : 36,023.31 = 9,223.30 : x
  2. Step 2: Convert to fraction form
    24,014.39/36,023.31 = 9,223.30/x
  3. Step 3: Cross multiply
    24,014.39x = 36,023.31 × 9,223.30
  4. Step 4: Simplify right side
    24,014.39x = 332,253,738.22
  5. Step 5: Solve for x
    x = 332,253,738.22/24,014.39
  6. Step 6: Final answer
    x = 13,835.61

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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.