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Finding the Fourth Proportional to 24,309.49, 36,464.23 and 5,841.49

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Solution

The fourth proportional to 24,309.49, 36,464.23 and 5,841.49 is: 8,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.49 : 36,464.23 = 5,841.49 : x
  2. Step 2: Convert to fraction form
    24,309.49/36,464.23 = 5,841.49/x
  3. Step 3: Cross multiply
    24,309.49x = 36,464.23 × 5,841.49
  4. Step 4: Simplify right side
    24,309.49x = 213,005,329.14
  5. Step 5: Solve for x
    x = 213,005,329.14/24,309.49
  6. Step 6: Final answer
    x = 8,762.23

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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.