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Finding the Fourth Proportional to 15,436, 21,306.90 and 9,619.66

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Solution

The fourth proportional to 15,436, 21,306.90 and 9,619.66 is: 13,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,436 : 21,306.90 = 9,619.66 : x
  2. Step 2: Convert to fraction form
    15,436/21,306.90 = 9,619.66/x
  3. Step 3: Cross multiply
    15,436x = 21,306.90 × 9,619.66
  4. Step 4: Simplify right side
    15,436x = 204,965,133.65
  5. Step 5: Solve for x
    x = 204,965,133.65/15,436
  6. Step 6: Final answer
    x = 13,278.38

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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.