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Finding the Fourth Proportional to 24,406.44, 36,613.98 and 9,208.68

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Solution

The fourth proportional to 24,406.44, 36,613.98 and 9,208.68 is: 13,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.44 : 36,613.98 = 9,208.68 : x
  2. Step 2: Convert to fraction form
    24,406.44/36,613.98 = 9,208.68/x
  3. Step 3: Cross multiply
    24,406.44x = 36,613.98 × 9,208.68
  4. Step 4: Simplify right side
    24,406.44x = 337,166,425.35
  5. Step 5: Solve for x
    x = 337,166,425.35/24,406.44
  6. Step 6: Final answer
    x = 13,814.65

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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.