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Finding the Fourth Proportional to 15,759.32, 21,747.96 and 8,685.60

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Solution

The fourth proportional to 15,759.32, 21,747.96 and 8,685.60 is: 11,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,759.32 : 21,747.96 = 8,685.60 : x
  2. Step 2: Convert to fraction form
    15,759.32/21,747.96 = 8,685.60/x
  3. Step 3: Cross multiply
    15,759.32x = 21,747.96 × 8,685.60
  4. Step 4: Simplify right side
    15,759.32x = 188,894,081.38
  5. Step 5: Solve for x
    x = 188,894,081.38/15,759.32
  6. Step 6: Final answer
    x = 11,986.18

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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.