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Finding the Fourth Proportional to 24,131.84, 36,188 and 9,338

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Solution

The fourth proportional to 24,131.84, 36,188 and 9,338 is: 14,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.84 : 36,188 = 9,338 : x
  2. Step 2: Convert to fraction form
    24,131.84/36,188 = 9,338/x
  3. Step 3: Cross multiply
    24,131.84x = 36,188 × 9,338
  4. Step 4: Simplify right side
    24,131.84x = 337,923,544
  5. Step 5: Solve for x
    x = 337,923,544/24,131.84
  6. Step 6: Final answer
    x = 14,003.22

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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.