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Finding the Fourth Proportional to 15,096.92, 22,640.26 and 5,734.68

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Solution

The fourth proportional to 15,096.92, 22,640.26 and 5,734.68 is: 8,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.92 : 22,640.26 = 5,734.68 : x
  2. Step 2: Convert to fraction form
    15,096.92/22,640.26 = 5,734.68/x
  3. Step 3: Cross multiply
    15,096.92x = 22,640.26 × 5,734.68
  4. Step 4: Simplify right side
    15,096.92x = 129,834,646.22
  5. Step 5: Solve for x
    x = 129,834,646.22/15,096.92
  6. Step 6: Final answer
    x = 8,600.08

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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.