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Finding the Fourth Proportional to 22,902.58, 34,357.11 and 7,316.56

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Solution

The fourth proportional to 22,902.58, 34,357.11 and 7,316.56 is: 10,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.58 : 34,357.11 = 7,316.56 : x
  2. Step 2: Convert to fraction form
    22,902.58/34,357.11 = 7,316.56/x
  3. Step 3: Cross multiply
    22,902.58x = 34,357.11 × 7,316.56
  4. Step 4: Simplify right side
    22,902.58x = 251,375,856.74
  5. Step 5: Solve for x
    x = 251,375,856.74/22,902.58
  6. Step 6: Final answer
    x = 10,975.88

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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.