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Finding the Fourth Proportional to 15,682.65, 21,641.96 and 8,512.71

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Solution

The fourth proportional to 15,682.65, 21,641.96 and 8,512.71 is: 11,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.65 : 21,641.96 = 8,512.71 : x
  2. Step 2: Convert to fraction form
    15,682.65/21,641.96 = 8,512.71/x
  3. Step 3: Cross multiply
    15,682.65x = 21,641.96 × 8,512.71
  4. Step 4: Simplify right side
    15,682.65x = 184,231,642.38
  5. Step 5: Solve for x
    x = 184,231,642.38/15,682.65
  6. Step 6: Final answer
    x = 11,747.48

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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.