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Finding the Fourth Proportional to 24,309.42, 36,449.54 and 9,500.69

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Solution

The fourth proportional to 24,309.42, 36,449.54 and 9,500.69 is: 14,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.42 : 36,449.54 = 9,500.69 : x
  2. Step 2: Convert to fraction form
    24,309.42/36,449.54 = 9,500.69/x
  3. Step 3: Cross multiply
    24,309.42x = 36,449.54 × 9,500.69
  4. Step 4: Simplify right side
    24,309.42x = 346,295,550.43
  5. Step 5: Solve for x
    x = 346,295,550.43/24,309.42
  6. Step 6: Final answer
    x = 14,245.32

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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.