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Finding the Fourth Proportional to 24,474.72, 36,700.48 and 9,488.86

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Solution

The fourth proportional to 24,474.72, 36,700.48 and 9,488.86 is: 14,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.72 : 36,700.48 = 9,488.86 : x
  2. Step 2: Convert to fraction form
    24,474.72/36,700.48 = 9,488.86/x
  3. Step 3: Cross multiply
    24,474.72x = 36,700.48 × 9,488.86
  4. Step 4: Simplify right side
    24,474.72x = 348,245,716.65
  5. Step 5: Solve for x
    x = 348,245,716.65/24,474.72
  6. Step 6: Final answer
    x = 14,228.79

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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.