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Finding the Fourth Proportional to 15,101.45, 22,647.04 and 5,739.22

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Solution

The fourth proportional to 15,101.45, 22,647.04 and 5,739.22 is: 8,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.45 : 22,647.04 = 5,739.22 : x
  2. Step 2: Convert to fraction form
    15,101.45/22,647.04 = 5,739.22/x
  3. Step 3: Cross multiply
    15,101.45x = 22,647.04 × 5,739.22
  4. Step 4: Simplify right side
    15,101.45x = 129,976,217.33
  5. Step 5: Solve for x
    x = 129,976,217.33/15,101.45
  6. Step 6: Final answer
    x = 8,606.87

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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.