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Finding the Fourth Proportional to 24,224.67, 36,350.64 and 9,434.61

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Solution

The fourth proportional to 24,224.67, 36,350.64 and 9,434.61 is: 14,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224.67 : 36,350.64 = 9,434.61 : x
  2. Step 2: Convert to fraction form
    24,224.67/36,350.64 = 9,434.61/x
  3. Step 3: Cross multiply
    24,224.67x = 36,350.64 × 9,434.61
  4. Step 4: Simplify right side
    24,224.67x = 342,954,111.65
  5. Step 5: Solve for x
    x = 342,954,111.65/24,224.67
  6. Step 6: Final answer
    x = 14,157.23

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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.