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Finding the Fourth Proportional to 12,394.56, 17,104.32 and 7,680

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Solution

The fourth proportional to 12,394.56, 17,104.32 and 7,680 is: 10,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.56 : 17,104.32 = 7,680 : x
  2. Step 2: Convert to fraction form
    12,394.56/17,104.32 = 7,680/x
  3. Step 3: Cross multiply
    12,394.56x = 17,104.32 × 7,680
  4. Step 4: Simplify right side
    12,394.56x = 131,361,177.60
  5. Step 5: Solve for x
    x = 131,361,177.60/12,394.56
  6. Step 6: Final answer
    x = 10,598.29

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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.