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Finding the Fourth Proportional to 12,193.70, 18,290.56 and 3,428.61

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Solution

The fourth proportional to 12,193.70, 18,290.56 and 3,428.61 is: 5,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.70 : 18,290.56 = 3,428.61 : x
  2. Step 2: Convert to fraction form
    12,193.70/18,290.56 = 3,428.61/x
  3. Step 3: Cross multiply
    12,193.70x = 18,290.56 × 3,428.61
  4. Step 4: Simplify right side
    12,193.70x = 62,711,276.50
  5. Step 5: Solve for x
    x = 62,711,276.50/12,193.70
  6. Step 6: Final answer
    x = 5,142.92

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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.