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Finding the Fourth Proportional to 24,834, 37,250.82 and 10,042.74

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Solution

The fourth proportional to 24,834, 37,250.82 and 10,042.74 is: 15,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834 : 37,250.82 = 10,042.74 : x
  2. Step 2: Convert to fraction form
    24,834/37,250.82 = 10,042.74/x
  3. Step 3: Cross multiply
    24,834x = 37,250.82 × 10,042.74
  4. Step 4: Simplify right side
    24,834x = 374,100,300.05
  5. Step 5: Solve for x
    x = 374,100,300.05/24,834
  6. Step 6: Final answer
    x = 15,064.04

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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.