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Finding the Fourth Proportional to 12,522.23, 17,281.52 and 7,217.39

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Solution

The fourth proportional to 12,522.23, 17,281.52 and 7,217.39 is: 9,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.23 : 17,281.52 = 7,217.39 : x
  2. Step 2: Convert to fraction form
    12,522.23/17,281.52 = 7,217.39/x
  3. Step 3: Cross multiply
    12,522.23x = 17,281.52 × 7,217.39
  4. Step 4: Simplify right side
    12,522.23x = 124,727,469.63
  5. Step 5: Solve for x
    x = 124,727,469.63/12,522.23
  6. Step 6: Final answer
    x = 9,960.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.