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Finding the Fourth Proportional to 17,138.14, 23,651.84 and 9,585.17

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Solution

The fourth proportional to 17,138.14, 23,651.84 and 9,585.17 is: 13,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.14 : 23,651.84 = 9,585.17 : x
  2. Step 2: Convert to fraction form
    17,138.14/23,651.84 = 9,585.17/x
  3. Step 3: Cross multiply
    17,138.14x = 23,651.84 × 9,585.17
  4. Step 4: Simplify right side
    17,138.14x = 226,706,859.29
  5. Step 5: Solve for x
    x = 226,706,859.29/17,138.14
  6. Step 6: Final answer
    x = 13,228.21

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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.