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Finding the Fourth Proportional to 15,265.92, 22,869.84 and 8,696.64

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Solution

The fourth proportional to 15,265.92, 22,869.84 and 8,696.64 is: 13,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,265.92 : 22,869.84 = 8,696.64 : x
  2. Step 2: Convert to fraction form
    15,265.92/22,869.84 = 8,696.64/x
  3. Step 3: Cross multiply
    15,265.92x = 22,869.84 × 8,696.64
  4. Step 4: Simplify right side
    15,265.92x = 198,890,765.34
  5. Step 5: Solve for x
    x = 198,890,765.34/15,265.92
  6. Step 6: Final answer
    x = 13,028.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.