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Finding the Fourth Proportional to 17,691.88, 24,415.68 and 9,735.16

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Solution

The fourth proportional to 17,691.88, 24,415.68 and 9,735.16 is: 13,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.88 : 24,415.68 = 9,735.16 : x
  2. Step 2: Convert to fraction form
    17,691.88/24,415.68 = 9,735.16/x
  3. Step 3: Cross multiply
    17,691.88x = 24,415.68 × 9,735.16
  4. Step 4: Simplify right side
    17,691.88x = 237,690,551.31
  5. Step 5: Solve for x
    x = 237,690,551.31/17,691.88
  6. Step 6: Final answer
    x = 13,435.01

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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.