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Finding the Fourth Proportional to 24,656, 36,935.32 and 16,310.78

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Solution

The fourth proportional to 24,656, 36,935.32 and 16,310.78 is: 24,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656 : 36,935.32 = 16,310.78 : x
  2. Step 2: Convert to fraction form
    24,656/36,935.32 = 16,310.78/x
  3. Step 3: Cross multiply
    24,656x = 36,935.32 × 16,310.78
  4. Step 4: Simplify right side
    24,656x = 602,443,878.75
  5. Step 5: Solve for x
    x = 602,443,878.75/24,656
  6. Step 6: Final answer
    x = 24,433.97

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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.