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Finding the Fourth Proportional to 17,922.44, 26,895.33 and 6,829.22

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Solution

The fourth proportional to 17,922.44, 26,895.33 and 6,829.22 is: 10,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.44 : 26,895.33 = 6,829.22 : x
  2. Step 2: Convert to fraction form
    17,922.44/26,895.33 = 6,829.22/x
  3. Step 3: Cross multiply
    17,922.44x = 26,895.33 × 6,829.22
  4. Step 4: Simplify right side
    17,922.44x = 183,673,991.07
  5. Step 5: Solve for x
    x = 183,673,991.07/17,922.44
  6. Step 6: Final answer
    x = 10,248.27

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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.