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Finding the Fourth Proportional to 16,386, 24,579 and 5,442

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Solution

The fourth proportional to 16,386, 24,579 and 5,442 is: 8,163

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386 : 24,579 = 5,442 : x
  2. Step 2: Convert to fraction form
    16,386/24,579 = 5,442/x
  3. Step 3: Cross multiply
    16,386x = 24,579 × 5,442
  4. Step 4: Simplify right side
    16,386x = 133,758,918
  5. Step 5: Solve for x
    x = 133,758,918/16,386
  6. Step 6: Final answer
    x = 8,163

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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.