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Finding the Fourth Proportional to 15,723.38, 21,698.08 and 8,649.65

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Solution

The fourth proportional to 15,723.38, 21,698.08 and 8,649.65 is: 11,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.38 : 21,698.08 = 8,649.65 : x
  2. Step 2: Convert to fraction form
    15,723.38/21,698.08 = 8,649.65/x
  3. Step 3: Cross multiply
    15,723.38x = 21,698.08 × 8,649.65
  4. Step 4: Simplify right side
    15,723.38x = 187,680,830.29
  5. Step 5: Solve for x
    x = 187,680,830.29/15,723.38
  6. Step 6: Final answer
    x = 11,936.42

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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.