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Finding the Fourth Proportional to 17,642.53, 26,467.84 and 5,162.25

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Solution

The fourth proportional to 17,642.53, 26,467.84 and 5,162.25 is: 7,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.53 : 26,467.84 = 5,162.25 : x
  2. Step 2: Convert to fraction form
    17,642.53/26,467.84 = 5,162.25/x
  3. Step 3: Cross multiply
    17,642.53x = 26,467.84 × 5,162.25
  4. Step 4: Simplify right side
    17,642.53x = 136,633,607.04
  5. Step 5: Solve for x
    x = 136,633,607.04/17,642.53
  6. Step 6: Final answer
    x = 7,744.56

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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.