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Finding the Fourth Proportional to 24,494.30, 36,739.47 and 7,849.86

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Solution

The fourth proportional to 24,494.30, 36,739.47 and 7,849.86 is: 11,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.30 : 36,739.47 = 7,849.86 : x
  2. Step 2: Convert to fraction form
    24,494.30/36,739.47 = 7,849.86/x
  3. Step 3: Cross multiply
    24,494.30x = 36,739.47 × 7,849.86
  4. Step 4: Simplify right side
    24,494.30x = 288,399,794.30
  5. Step 5: Solve for x
    x = 288,399,794.30/24,494.30
  6. Step 6: Final answer
    x = 11,774.16

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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.