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Finding the Fourth Proportional to 12,494.71, 17,243.36 and 7,191.23

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Solution

The fourth proportional to 12,494.71, 17,243.36 and 7,191.23 is: 9,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.71 : 17,243.36 = 7,191.23 : x
  2. Step 2: Convert to fraction form
    12,494.71/17,243.36 = 7,191.23/x
  3. Step 3: Cross multiply
    12,494.71x = 17,243.36 × 7,191.23
  4. Step 4: Simplify right side
    12,494.71x = 124,001,028.82
  5. Step 5: Solve for x
    x = 124,001,028.82/12,494.71
  6. Step 6: Final answer
    x = 9,924.28

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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.