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Finding the Fourth Proportional to 24,226.90, 36,340.36 and 9,230.52

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Solution

The fourth proportional to 24,226.90, 36,340.36 and 9,230.52 is: 13,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.90 : 36,340.36 = 9,230.52 : x
  2. Step 2: Convert to fraction form
    24,226.90/36,340.36 = 9,230.52/x
  3. Step 3: Cross multiply
    24,226.90x = 36,340.36 × 9,230.52
  4. Step 4: Simplify right side
    24,226.90x = 335,440,392.66
  5. Step 5: Solve for x
    x = 335,440,392.66/24,226.90
  6. Step 6: Final answer
    x = 13,845.78

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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.