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Finding the Fourth Proportional to 22,801.12, 34,206 and 7,217.44

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Solution

The fourth proportional to 22,801.12, 34,206 and 7,217.44 is: 10,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.12 : 34,206 = 7,217.44 : x
  2. Step 2: Convert to fraction form
    22,801.12/34,206 = 7,217.44/x
  3. Step 3: Cross multiply
    22,801.12x = 34,206 × 7,217.44
  4. Step 4: Simplify right side
    22,801.12x = 246,879,752.64
  5. Step 5: Solve for x
    x = 246,879,752.64/22,801.12
  6. Step 6: Final answer
    x = 10,827.53

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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.