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Finding the Fourth Proportional to 24,241.96, 36,329.78 and 18,314

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Solution

The fourth proportional to 24,241.96, 36,329.78 and 18,314 is: 27,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.96 : 36,329.78 = 18,314 : x
  2. Step 2: Convert to fraction form
    24,241.96/36,329.78 = 18,314/x
  3. Step 3: Cross multiply
    24,241.96x = 36,329.78 × 18,314
  4. Step 4: Simplify right side
    24,241.96x = 665,343,590.92
  5. Step 5: Solve for x
    x = 665,343,590.92/24,241.96
  6. Step 6: Final answer
    x = 27,445.95

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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.