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Finding the Fourth Proportional to 24,498.54, 36,753.96 and 6,968.38

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Solution

The fourth proportional to 24,498.54, 36,753.96 and 6,968.38 is: 10,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.54 : 36,753.96 = 6,968.38 : x
  2. Step 2: Convert to fraction form
    24,498.54/36,753.96 = 6,968.38/x
  3. Step 3: Cross multiply
    24,498.54x = 36,753.96 × 6,968.38
  4. Step 4: Simplify right side
    24,498.54x = 256,115,559.78
  5. Step 5: Solve for x
    x = 256,115,559.78/24,498.54
  6. Step 6: Final answer
    x = 10,454.32

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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.