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Finding the Fourth Proportional to 24,754.02, 37,111.88 and 8,103.66

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Solution

The fourth proportional to 24,754.02, 37,111.88 and 8,103.66 is: 12,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.02 : 37,111.88 = 8,103.66 : x
  2. Step 2: Convert to fraction form
    24,754.02/37,111.88 = 8,103.66/x
  3. Step 3: Cross multiply
    24,754.02x = 37,111.88 × 8,103.66
  4. Step 4: Simplify right side
    24,754.02x = 300,741,938.57
  5. Step 5: Solve for x
    x = 300,741,938.57/24,754.02
  6. Step 6: Final answer
    x = 12,149.22

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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.