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Finding the Fourth Proportional to 24,130.80, 36,183.72 and 8,546.16

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Solution

The fourth proportional to 24,130.80, 36,183.72 and 8,546.16 is: 12,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130.80 : 36,183.72 = 8,546.16 : x
  2. Step 2: Convert to fraction form
    24,130.80/36,183.72 = 8,546.16/x
  3. Step 3: Cross multiply
    24,130.80x = 36,183.72 × 8,546.16
  4. Step 4: Simplify right side
    24,130.80x = 309,231,860.52
  5. Step 5: Solve for x
    x = 309,231,860.52/24,130.80
  6. Step 6: Final answer
    x = 12,814.82

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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.