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Finding the Fourth Proportional to 24,379.38, 36,570.42 and 7,738.20

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Solution

The fourth proportional to 24,379.38, 36,570.42 and 7,738.20 is: 11,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.38 : 36,570.42 = 7,738.20 : x
  2. Step 2: Convert to fraction form
    24,379.38/36,570.42 = 7,738.20/x
  3. Step 3: Cross multiply
    24,379.38x = 36,570.42 × 7,738.20
  4. Step 4: Simplify right side
    24,379.38x = 282,989,224.04
  5. Step 5: Solve for x
    x = 282,989,224.04/24,379.38
  6. Step 6: Final answer
    x = 11,607.73

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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.