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Finding the Fourth Proportional to 12,474.96, 17,214.90 and 6,809.56

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Solution

The fourth proportional to 12,474.96, 17,214.90 and 6,809.56 is: 9,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.96 : 17,214.90 = 6,809.56 : x
  2. Step 2: Convert to fraction form
    12,474.96/17,214.90 = 6,809.56/x
  3. Step 3: Cross multiply
    12,474.96x = 17,214.90 × 6,809.56
  4. Step 4: Simplify right side
    12,474.96x = 117,225,894.44
  5. Step 5: Solve for x
    x = 117,225,894.44/12,474.96
  6. Step 6: Final answer
    x = 9,396.90

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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.