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Finding the Fourth Proportional to 12,112.32, 18,133.76 and 8,209.76

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Solution

The fourth proportional to 12,112.32, 18,133.76 and 8,209.76 is: 12,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.32 : 18,133.76 = 8,209.76 : x
  2. Step 2: Convert to fraction form
    12,112.32/18,133.76 = 8,209.76/x
  3. Step 3: Cross multiply
    12,112.32x = 18,133.76 × 8,209.76
  4. Step 4: Simplify right side
    12,112.32x = 148,873,817.50
  5. Step 5: Solve for x
    x = 148,873,817.50/12,112.32
  6. Step 6: Final answer
    x = 12,291.11

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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.