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Finding the Fourth Proportional to 12,469.76, 17,215.04 and 9,109.12

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Solution

The fourth proportional to 12,469.76, 17,215.04 and 9,109.12 is: 12,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.76 : 17,215.04 = 9,109.12 : x
  2. Step 2: Convert to fraction form
    12,469.76/17,215.04 = 9,109.12/x
  3. Step 3: Cross multiply
    12,469.76x = 17,215.04 × 9,109.12
  4. Step 4: Simplify right side
    12,469.76x = 156,813,865.16
  5. Step 5: Solve for x
    x = 156,813,865.16/12,469.76
  6. Step 6: Final answer
    x = 12,575.53

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