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Finding the Fourth Proportional to 16,242.44, 24,349.26 and 7,917.80

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Solution

The fourth proportional to 16,242.44, 24,349.26 and 7,917.80 is: 11,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.44 : 24,349.26 = 7,917.80 : x
  2. Step 2: Convert to fraction form
    16,242.44/24,349.26 = 7,917.80/x
  3. Step 3: Cross multiply
    16,242.44x = 24,349.26 × 7,917.80
  4. Step 4: Simplify right side
    16,242.44x = 192,792,570.83
  5. Step 5: Solve for x
    x = 192,792,570.83/16,242.44
  6. Step 6: Final answer
    x = 11,869.68

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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.