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Finding the Fourth Proportional to 17,266.68, 23,822.60 and 9,711.80

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Solution

The fourth proportional to 17,266.68, 23,822.60 and 9,711.80 is: 13,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.68 : 23,822.60 = 9,711.80 : x
  2. Step 2: Convert to fraction form
    17,266.68/23,822.60 = 9,711.80/x
  3. Step 3: Cross multiply
    17,266.68x = 23,822.60 × 9,711.80
  4. Step 4: Simplify right side
    17,266.68x = 231,360,326.68
  5. Step 5: Solve for x
    x = 231,360,326.68/17,266.68
  6. Step 6: Final answer
    x = 13,399.24

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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.