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Finding the Fourth Proportional to 24,151.36, 36,222.89 and 6,382.21

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Solution

The fourth proportional to 24,151.36, 36,222.89 and 6,382.21 is: 9,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.36 : 36,222.89 = 6,382.21 : x
  2. Step 2: Convert to fraction form
    24,151.36/36,222.89 = 6,382.21/x
  3. Step 3: Cross multiply
    24,151.36x = 36,222.89 × 6,382.21
  4. Step 4: Simplify right side
    24,151.36x = 231,182,090.79
  5. Step 5: Solve for x
    x = 231,182,090.79/24,151.36
  6. Step 6: Final answer
    x = 9,572.22

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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.