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Finding the Fourth Proportional to 17,140.10, 23,653.16 and 9,586.34

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Solution

The fourth proportional to 17,140.10, 23,653.16 and 9,586.34 is: 13,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.10 : 23,653.16 = 9,586.34 : x
  2. Step 2: Convert to fraction form
    17,140.10/23,653.16 = 9,586.34/x
  3. Step 3: Cross multiply
    17,140.10x = 23,653.16 × 9,586.34
  4. Step 4: Simplify right side
    17,140.10x = 226,747,067.64
  5. Step 5: Solve for x
    x = 226,747,067.64/17,140.10
  6. Step 6: Final answer
    x = 13,229.04

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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.