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Finding the Fourth Proportional to 12,768.62, 17,615.67 and 9,419.50

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Solution

The fourth proportional to 12,768.62, 17,615.67 and 9,419.50 is: 12,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.62 : 17,615.67 = 9,419.50 : x
  2. Step 2: Convert to fraction form
    12,768.62/17,615.67 = 9,419.50/x
  3. Step 3: Cross multiply
    12,768.62x = 17,615.67 × 9,419.50
  4. Step 4: Simplify right side
    12,768.62x = 165,930,803.57
  5. Step 5: Solve for x
    x = 165,930,803.57/12,768.62
  6. Step 6: Final answer
    x = 12,995.20

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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.