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Finding the Fourth Proportional to 24,482.44, 36,723.90 and 9,694.96

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Solution

The fourth proportional to 24,482.44, 36,723.90 and 9,694.96 is: 14,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.44 : 36,723.90 = 9,694.96 : x
  2. Step 2: Convert to fraction form
    24,482.44/36,723.90 = 9,694.96/x
  3. Step 3: Cross multiply
    24,482.44x = 36,723.90 × 9,694.96
  4. Step 4: Simplify right side
    24,482.44x = 356,036,741.54
  5. Step 5: Solve for x
    x = 356,036,741.54/24,482.44
  6. Step 6: Final answer
    x = 14,542.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.