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Finding the Fourth Proportional to 15,228.84, 22,843.26 and 5,742.96

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Solution

The fourth proportional to 15,228.84, 22,843.26 and 5,742.96 is: 8,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.84 : 22,843.26 = 5,742.96 : x
  2. Step 2: Convert to fraction form
    15,228.84/22,843.26 = 5,742.96/x
  3. Step 3: Cross multiply
    15,228.84x = 22,843.26 × 5,742.96
  4. Step 4: Simplify right side
    15,228.84x = 131,187,928.45
  5. Step 5: Solve for x
    x = 131,187,928.45/15,228.84
  6. Step 6: Final answer
    x = 8,614.44

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Similar ratio
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1.5x scale

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.