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Finding the Fourth Proportional to 24,309.13, 36,449.11 and 9,500.41

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Solution

The fourth proportional to 24,309.13, 36,449.11 and 9,500.41 is: 14,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.13 : 36,449.11 = 9,500.41 : x
  2. Step 2: Convert to fraction form
    24,309.13/36,449.11 = 9,500.41/x
  3. Step 3: Cross multiply
    24,309.13x = 36,449.11 × 9,500.41
  4. Step 4: Simplify right side
    24,309.13x = 346,281,409.89
  5. Step 5: Solve for x
    x = 346,281,409.89/24,309.13
  6. Step 6: Final answer
    x = 14,244.91

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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.