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Finding the Fourth Proportional to 22,538.58, 33,811.20 and 6,952.56

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Solution

The fourth proportional to 22,538.58, 33,811.20 and 6,952.56 is: 10,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.58 : 33,811.20 = 6,952.56 : x
  2. Step 2: Convert to fraction form
    22,538.58/33,811.20 = 6,952.56/x
  3. Step 3: Cross multiply
    22,538.58x = 33,811.20 × 6,952.56
  4. Step 4: Simplify right side
    22,538.58x = 235,074,396.67
  5. Step 5: Solve for x
    x = 235,074,396.67/22,538.58
  6. Step 6: Final answer
    x = 10,429.87

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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.