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Finding the Fourth Proportional to 12,982.32, 19,473.20 and 4,217.22

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Solution

The fourth proportional to 12,982.32, 19,473.20 and 4,217.22 is: 6,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.32 : 19,473.20 = 4,217.22 : x
  2. Step 2: Convert to fraction form
    12,982.32/19,473.20 = 4,217.22/x
  3. Step 3: Cross multiply
    12,982.32x = 19,473.20 × 4,217.22
  4. Step 4: Simplify right side
    12,982.32x = 82,122,768.50
  5. Step 5: Solve for x
    x = 82,122,768.50/12,982.32
  6. Step 6: Final answer
    x = 6,325.74

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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.