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Finding the Fourth Proportional to 15,199.62, 22,764.80 and 12,422.14

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Solution

The fourth proportional to 15,199.62, 22,764.80 and 12,422.14 is: 18,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.62 : 22,764.80 = 12,422.14 : x
  2. Step 2: Convert to fraction form
    15,199.62/22,764.80 = 12,422.14/x
  3. Step 3: Cross multiply
    15,199.62x = 22,764.80 × 12,422.14
  4. Step 4: Simplify right side
    15,199.62x = 282,787,532.67
  5. Step 5: Solve for x
    x = 282,787,532.67/15,199.62
  6. Step 6: Final answer
    x = 18,604.91

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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.