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Finding the Fourth Proportional to 17,368.31, 23,968.24 and 9,410.75

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Solution

The fourth proportional to 17,368.31, 23,968.24 and 9,410.75 is: 12,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,368.31 : 23,968.24 = 9,410.75 : x
  2. Step 2: Convert to fraction form
    17,368.31/23,968.24 = 9,410.75/x
  3. Step 3: Cross multiply
    17,368.31x = 23,968.24 × 9,410.75
  4. Step 4: Simplify right side
    17,368.31x = 225,559,067.53
  5. Step 5: Solve for x
    x = 225,559,067.53/17,368.31
  6. Step 6: Final answer
    x = 12,986.82

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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.