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Finding the Fourth Proportional to 17,138.17, 23,650.54 and 9,584.51

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Solution

The fourth proportional to 17,138.17, 23,650.54 and 9,584.51 is: 13,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.17 : 23,650.54 = 9,584.51 : x
  2. Step 2: Convert to fraction form
    17,138.17/23,650.54 = 9,584.51/x
  3. Step 3: Cross multiply
    17,138.17x = 23,650.54 × 9,584.51
  4. Step 4: Simplify right side
    17,138.17x = 226,678,837.14
  5. Step 5: Solve for x
    x = 226,678,837.14/17,138.17
  6. Step 6: Final answer
    x = 13,226.55

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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.