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Finding the Fourth Proportional to 17,263.31, 23,822.84 and 9,710.06

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Solution

The fourth proportional to 17,263.31, 23,822.84 and 9,710.06 is: 13,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.31 : 23,822.84 = 9,710.06 : x
  2. Step 2: Convert to fraction form
    17,263.31/23,822.84 = 9,710.06/x
  3. Step 3: Cross multiply
    17,263.31x = 23,822.84 × 9,710.06
  4. Step 4: Simplify right side
    17,263.31x = 231,321,110.93
  5. Step 5: Solve for x
    x = 231,321,110.93/17,263.31
  6. Step 6: Final answer
    x = 13,399.58

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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.