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Finding the Fourth Proportional to 17,694.42, 24,417.69 and 9,735.90

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Solution

The fourth proportional to 17,694.42, 24,417.69 and 9,735.90 is: 13,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,694.42 : 24,417.69 = 9,735.90 : x
  2. Step 2: Convert to fraction form
    17,694.42/24,417.69 = 9,735.90/x
  3. Step 3: Cross multiply
    17,694.42x = 24,417.69 × 9,735.90
  4. Step 4: Simplify right side
    17,694.42x = 237,728,188.07
  5. Step 5: Solve for x
    x = 237,728,188.07/17,694.42
  6. Step 6: Final answer
    x = 13,435.21

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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.