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Finding the Fourth Proportional to 12,402.62, 18,602.31 and 5,475.50

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Solution

The fourth proportional to 12,402.62, 18,602.31 and 5,475.50 is: 8,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.62 : 18,602.31 = 5,475.50 : x
  2. Step 2: Convert to fraction form
    12,402.62/18,602.31 = 5,475.50/x
  3. Step 3: Cross multiply
    12,402.62x = 18,602.31 × 5,475.50
  4. Step 4: Simplify right side
    12,402.62x = 101,856,948.41
  5. Step 5: Solve for x
    x = 101,856,948.41/12,402.62
  6. Step 6: Final answer
    x = 8,212.53

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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.