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Finding the Fourth Proportional to 15,176.57, 20,947.03 and 9,862.16

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Solution

The fourth proportional to 15,176.57, 20,947.03 and 9,862.16 is: 13,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,176.57 : 20,947.03 = 9,862.16 : x
  2. Step 2: Convert to fraction form
    15,176.57/20,947.03 = 9,862.16/x
  3. Step 3: Cross multiply
    15,176.57x = 20,947.03 × 9,862.16
  4. Step 4: Simplify right side
    15,176.57x = 206,582,961.38
  5. Step 5: Solve for x
    x = 206,582,961.38/15,176.57
  6. Step 6: Final answer
    x = 13,611.97

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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.