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Finding the Fourth Proportional to 15,293.92, 22,938.41 and 4,198.01

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Solution

The fourth proportional to 15,293.92, 22,938.41 and 4,198.01 is: 6,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293.92 : 22,938.41 = 4,198.01 : x
  2. Step 2: Convert to fraction form
    15,293.92/22,938.41 = 4,198.01/x
  3. Step 3: Cross multiply
    15,293.92x = 22,938.41 × 4,198.01
  4. Step 4: Simplify right side
    15,293.92x = 96,295,742.41
  5. Step 5: Solve for x
    x = 96,295,742.41/15,293.92
  6. Step 6: Final answer
    x = 6,296.34

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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.