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Finding the Fourth Proportional to 22,703.32, 34,059.78 and 7,122.52

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Solution

The fourth proportional to 22,703.32, 34,059.78 and 7,122.52 is: 10,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,703.32 : 34,059.78 = 7,122.52 : x
  2. Step 2: Convert to fraction form
    22,703.32/34,059.78 = 7,122.52/x
  3. Step 3: Cross multiply
    22,703.32x = 34,059.78 × 7,122.52
  4. Step 4: Simplify right side
    22,703.32x = 242,591,464.25
  5. Step 5: Solve for x
    x = 242,591,464.25/22,703.32
  6. Step 6: Final answer
    x = 10,685.29

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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.