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Finding the Fourth Proportional to 13,200.76, 18,212.52 and 7,531.42

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Solution

The fourth proportional to 13,200.76, 18,212.52 and 7,531.42 is: 10,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.76 : 18,212.52 = 7,531.42 : x
  2. Step 2: Convert to fraction form
    13,200.76/18,212.52 = 7,531.42/x
  3. Step 3: Cross multiply
    13,200.76x = 18,212.52 × 7,531.42
  4. Step 4: Simplify right side
    13,200.76x = 137,166,137.38
  5. Step 5: Solve for x
    x = 137,166,137.38/13,200.76
  6. Step 6: Final answer
    x = 10,390.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.