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Finding the Fourth Proportional to 17,139.14, 23,653.22 and 9,586.17

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Solution

The fourth proportional to 17,139.14, 23,653.22 and 9,586.17 is: 13,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,139.14 : 23,653.22 = 9,586.17 : x
  2. Step 2: Convert to fraction form
    17,139.14/23,653.22 = 9,586.17/x
  3. Step 3: Cross multiply
    17,139.14x = 23,653.22 × 9,586.17
  4. Step 4: Simplify right side
    17,139.14x = 226,743,787.97
  5. Step 5: Solve for x
    x = 226,743,787.97/17,139.14
  6. Step 6: Final answer
    x = 13,229.59

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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.