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Finding the Fourth Proportional to 14,915.28, 20,587.38 and 9,947.28

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Solution

The fourth proportional to 14,915.28, 20,587.38 and 9,947.28 is: 13,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.28 : 20,587.38 = 9,947.28 : x
  2. Step 2: Convert to fraction form
    14,915.28/20,587.38 = 9,947.28/x
  3. Step 3: Cross multiply
    14,915.28x = 20,587.38 × 9,947.28
  4. Step 4: Simplify right side
    14,915.28x = 204,788,433.33
  5. Step 5: Solve for x
    x = 204,788,433.33/14,915.28
  6. Step 6: Final answer
    x = 13,730.11

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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.