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Finding the Fourth Proportional to 24,084.61, 33,236.99 and 14,524.99

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Solution

The fourth proportional to 24,084.61, 33,236.99 and 14,524.99 is: 20,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,084.61 : 33,236.99 = 14,524.99 : x
  2. Step 2: Convert to fraction form
    24,084.61/33,236.99 = 14,524.99/x
  3. Step 3: Cross multiply
    24,084.61x = 33,236.99 × 14,524.99
  4. Step 4: Simplify right side
    24,084.61x = 482,766,947.38
  5. Step 5: Solve for x
    x = 482,766,947.38/24,084.61
  6. Step 6: Final answer
    x = 20,044.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.