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Finding the Fourth Proportional to 24,183.90, 36,278.55 and 7,543.80

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Solution

The fourth proportional to 24,183.90, 36,278.55 and 7,543.80 is: 11,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183.90 : 36,278.55 = 7,543.80 : x
  2. Step 2: Convert to fraction form
    24,183.90/36,278.55 = 7,543.80/x
  3. Step 3: Cross multiply
    24,183.90x = 36,278.55 × 7,543.80
  4. Step 4: Simplify right side
    24,183.90x = 273,678,125.49
  5. Step 5: Solve for x
    x = 273,678,125.49/24,183.90
  6. Step 6: Final answer
    x = 11,316.54

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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.