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Finding the Fourth Proportional to 24,892, 37,340.88 and 8,254.24

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Solution

The fourth proportional to 24,892, 37,340.88 and 8,254.24 is: 12,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892 : 37,340.88 = 8,254.24 : x
  2. Step 2: Convert to fraction form
    24,892/37,340.88 = 8,254.24/x
  3. Step 3: Cross multiply
    24,892x = 37,340.88 × 8,254.24
  4. Step 4: Simplify right side
    24,892x = 308,220,585.33
  5. Step 5: Solve for x
    x = 308,220,585.33/24,892
  6. Step 6: Final answer
    x = 12,382.32

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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.