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Finding the Fourth Proportional to 12,206.95, 18,294.47 and 6,658.80

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Solution

The fourth proportional to 12,206.95, 18,294.47 and 6,658.80 is: 9,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.95 : 18,294.47 = 6,658.80 : x
  2. Step 2: Convert to fraction form
    12,206.95/18,294.47 = 6,658.80/x
  3. Step 3: Cross multiply
    12,206.95x = 18,294.47 × 6,658.80
  4. Step 4: Simplify right side
    12,206.95x = 121,819,183.54
  5. Step 5: Solve for x
    x = 121,819,183.54/12,206.95
  6. Step 6: Final answer
    x = 9,979.50

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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.