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Finding the Fourth Proportional to 16,104.29, 24,164.66 and 7,338.06

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Solution

The fourth proportional to 16,104.29, 24,164.66 and 7,338.06 is: 11,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.29 : 24,164.66 = 7,338.06 : x
  2. Step 2: Convert to fraction form
    16,104.29/24,164.66 = 7,338.06/x
  3. Step 3: Cross multiply
    16,104.29x = 24,164.66 × 7,338.06
  4. Step 4: Simplify right side
    16,104.29x = 177,321,743.30
  5. Step 5: Solve for x
    x = 177,321,743.30/16,104.29
  6. Step 6: Final answer
    x = 11,010.84

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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.