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Finding the Fourth Proportional to 12,474.23, 17,214.75 and 7,097.54

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Solution

The fourth proportional to 12,474.23, 17,214.75 and 7,097.54 is: 9,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.23 : 17,214.75 = 7,097.54 : x
  2. Step 2: Convert to fraction form
    12,474.23/17,214.75 = 7,097.54/x
  3. Step 3: Cross multiply
    12,474.23x = 17,214.75 × 7,097.54
  4. Step 4: Simplify right side
    12,474.23x = 122,182,290.64
  5. Step 5: Solve for x
    x = 122,182,290.64/12,474.23
  6. Step 6: Final answer
    x = 9,794.78

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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.