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Finding the Fourth Proportional to 16,224.41, 24,338.36 and 6,865.38

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Solution

The fourth proportional to 16,224.41, 24,338.36 and 6,865.38 is: 10,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.41 : 24,338.36 = 6,865.38 : x
  2. Step 2: Convert to fraction form
    16,224.41/24,338.36 = 6,865.38/x
  3. Step 3: Cross multiply
    16,224.41x = 24,338.36 × 6,865.38
  4. Step 4: Simplify right side
    16,224.41x = 167,092,055.65
  5. Step 5: Solve for x
    x = 167,092,055.65/16,224.41
  6. Step 6: Final answer
    x = 10,298.81

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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.