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Finding the Fourth Proportional to 15,020.69, 20,728.13 and 8,306.09

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Solution

The fourth proportional to 15,020.69, 20,728.13 and 8,306.09 is: 11,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,020.69 : 20,728.13 = 8,306.09 : x
  2. Step 2: Convert to fraction form
    15,020.69/20,728.13 = 8,306.09/x
  3. Step 3: Cross multiply
    15,020.69x = 20,728.13 × 8,306.09
  4. Step 4: Simplify right side
    15,020.69x = 172,169,713.31
  5. Step 5: Solve for x
    x = 172,169,713.31/15,020.69
  6. Step 6: Final answer
    x = 11,462.17

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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.