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Finding the Fourth Proportional to 12,196.76, 18,295.18 and 2,962.76

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Solution

The fourth proportional to 12,196.76, 18,295.18 and 2,962.76 is: 4,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.76 : 18,295.18 = 2,962.76 : x
  2. Step 2: Convert to fraction form
    12,196.76/18,295.18 = 2,962.76/x
  3. Step 3: Cross multiply
    12,196.76x = 18,295.18 × 2,962.76
  4. Step 4: Simplify right side
    12,196.76x = 54,204,227.50
  5. Step 5: Solve for x
    x = 54,204,227.50/12,196.76
  6. Step 6: Final answer
    x = 4,444.15

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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.