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Finding the Fourth Proportional to 12,763.34, 17,608.48 and 9,414.10

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Solution

The fourth proportional to 12,763.34, 17,608.48 and 9,414.10 is: 12,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.34 : 17,608.48 = 9,414.10 : x
  2. Step 2: Convert to fraction form
    12,763.34/17,608.48 = 9,414.10/x
  3. Step 3: Cross multiply
    12,763.34x = 17,608.48 × 9,414.10
  4. Step 4: Simplify right side
    12,763.34x = 165,767,991.57
  5. Step 5: Solve for x
    x = 165,767,991.57/12,763.34
  6. Step 6: Final answer
    x = 12,987.82

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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.