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Finding the Fourth Proportional to 12,763.62, 17,608.77 and 9,414.50

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Solution

The fourth proportional to 12,763.62, 17,608.77 and 9,414.50 is: 12,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.62 : 17,608.77 = 9,414.50 : x
  2. Step 2: Convert to fraction form
    12,763.62/17,608.77 = 9,414.50/x
  3. Step 3: Cross multiply
    12,763.62x = 17,608.77 × 9,414.50
  4. Step 4: Simplify right side
    12,763.62x = 165,777,677.12
  5. Step 5: Solve for x
    x = 165,777,677.12/12,763.62
  6. Step 6: Final answer
    x = 12,988.30

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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.