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Finding the Fourth Proportional to 15,439, 21,310.68 and 9,850

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Solution

The fourth proportional to 15,439, 21,310.68 and 9,850 is: 13,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,439 : 21,310.68 = 9,850 : x
  2. Step 2: Convert to fraction form
    15,439/21,310.68 = 9,850/x
  3. Step 3: Cross multiply
    15,439x = 21,310.68 × 9,850
  4. Step 4: Simplify right side
    15,439x = 209,910,198
  5. Step 5: Solve for x
    x = 209,910,198/15,439
  6. Step 6: Final answer
    x = 13,596.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.