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Finding the Fourth Proportional to 12,207.70, 18,311.55 and 9,291.70

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Solution

The fourth proportional to 12,207.70, 18,311.55 and 9,291.70 is: 13,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.70 : 18,311.55 = 9,291.70 : x
  2. Step 2: Convert to fraction form
    12,207.70/18,311.55 = 9,291.70/x
  3. Step 3: Cross multiply
    12,207.70x = 18,311.55 × 9,291.70
  4. Step 4: Simplify right side
    12,207.70x = 170,145,429.14
  5. Step 5: Solve for x
    x = 170,145,429.14/12,207.70
  6. Step 6: Final answer
    x = 13,937.55

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Similar ratio
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1.5x scale

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.