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Finding the Fourth Proportional to 24,379.29, 36,578.63 and 9,382.38

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Solution

The fourth proportional to 24,379.29, 36,578.63 and 9,382.38 is: 14,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.29 : 36,578.63 = 9,382.38 : x
  2. Step 2: Convert to fraction form
    24,379.29/36,578.63 = 9,382.38/x
  3. Step 3: Cross multiply
    24,379.29x = 36,578.63 × 9,382.38
  4. Step 4: Simplify right side
    24,379.29x = 343,194,606.54
  5. Step 5: Solve for x
    x = 343,194,606.54/24,379.29
  6. Step 6: Final answer
    x = 14,077.30

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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.