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Finding the Fourth Proportional to 17,644.31, 26,468.93 and 5,165.23

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Solution

The fourth proportional to 17,644.31, 26,468.93 and 5,165.23 is: 7,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.31 : 26,468.93 = 5,165.23 : x
  2. Step 2: Convert to fraction form
    17,644.31/26,468.93 = 5,165.23/x
  3. Step 3: Cross multiply
    17,644.31x = 26,468.93 × 5,165.23
  4. Step 4: Simplify right side
    17,644.31x = 136,718,111.30
  5. Step 5: Solve for x
    x = 136,718,111.30/17,644.31
  6. Step 6: Final answer
    x = 7,748.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.