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Finding the Fourth Proportional to 24,542.38, 36,813.57 and 6,074.38

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Solution

The fourth proportional to 24,542.38, 36,813.57 and 6,074.38 is: 9,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.38 : 36,813.57 = 6,074.38 : x
  2. Step 2: Convert to fraction form
    24,542.38/36,813.57 = 6,074.38/x
  3. Step 3: Cross multiply
    24,542.38x = 36,813.57 × 6,074.38
  4. Step 4: Simplify right side
    24,542.38x = 223,619,613.34
  5. Step 5: Solve for x
    x = 223,619,613.34/24,542.38
  6. Step 6: Final answer
    x = 9,111.57

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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.