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Finding the Fourth Proportional to 15,062.80, 22,584.44 and 6,742.48

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Solution

The fourth proportional to 15,062.80, 22,584.44 and 6,742.48 is: 10,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,062.80 : 22,584.44 = 6,742.48 : x
  2. Step 2: Convert to fraction form
    15,062.80/22,584.44 = 6,742.48/x
  3. Step 3: Cross multiply
    15,062.80x = 22,584.44 × 6,742.48
  4. Step 4: Simplify right side
    15,062.80x = 152,275,135.01
  5. Step 5: Solve for x
    x = 152,275,135.01/15,062.80
  6. Step 6: Final answer
    x = 10,109.35

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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.