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Finding the Fourth Proportional to 24,621.78, 36,939 and 7,092.96

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Solution

The fourth proportional to 24,621.78, 36,939 and 7,092.96 is: 10,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,621.78 : 36,939 = 7,092.96 : x
  2. Step 2: Convert to fraction form
    24,621.78/36,939 = 7,092.96/x
  3. Step 3: Cross multiply
    24,621.78x = 36,939 × 7,092.96
  4. Step 4: Simplify right side
    24,621.78x = 262,006,849.44
  5. Step 5: Solve for x
    x = 262,006,849.44/24,621.78
  6. Step 6: Final answer
    x = 10,641.26

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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.