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Finding the Fourth Proportional to 24,833.50, 37,241.04 and 8,188.66

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Solution

The fourth proportional to 24,833.50, 37,241.04 and 8,188.66 is: 12,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.50 : 37,241.04 = 8,188.66 : x
  2. Step 2: Convert to fraction form
    24,833.50/37,241.04 = 8,188.66/x
  3. Step 3: Cross multiply
    24,833.50x = 37,241.04 × 8,188.66
  4. Step 4: Simplify right side
    24,833.50x = 304,954,214.61
  5. Step 5: Solve for x
    x = 304,954,214.61/24,833.50
  6. Step 6: Final answer
    x = 12,279.95

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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.