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Finding the Fourth Proportional to 12,474.05, 17,214.54 and 6,809.15

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Solution

The fourth proportional to 12,474.05, 17,214.54 and 6,809.15 is: 9,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.05 : 17,214.54 = 6,809.15 : x
  2. Step 2: Convert to fraction form
    12,474.05/17,214.54 = 6,809.15/x
  3. Step 3: Cross multiply
    12,474.05x = 17,214.54 × 6,809.15
  4. Step 4: Simplify right side
    12,474.05x = 117,216,298.97
  5. Step 5: Solve for x
    x = 117,216,298.97/12,474.05
  6. Step 6: Final answer
    x = 9,396.82

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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.