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Finding the Fourth Proportional to 15,660.76, 21,611.76 and 8,587.24

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Solution

The fourth proportional to 15,660.76, 21,611.76 and 8,587.24 is: 11,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,660.76 : 21,611.76 = 8,587.24 : x
  2. Step 2: Convert to fraction form
    15,660.76/21,611.76 = 8,587.24/x
  3. Step 3: Cross multiply
    15,660.76x = 21,611.76 × 8,587.24
  4. Step 4: Simplify right side
    15,660.76x = 185,585,369.94
  5. Step 5: Solve for x
    x = 185,585,369.94/15,660.76
  6. Step 6: Final answer
    x = 11,850.34

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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.