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Finding the Fourth Proportional to 16,223.75, 24,343.12 and 6,365.64

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Solution

The fourth proportional to 16,223.75, 24,343.12 and 6,365.64 is: 9,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.75 : 24,343.12 = 6,365.64 : x
  2. Step 2: Convert to fraction form
    16,223.75/24,343.12 = 6,365.64/x
  3. Step 3: Cross multiply
    16,223.75x = 24,343.12 × 6,365.64
  4. Step 4: Simplify right side
    16,223.75x = 154,959,601.83
  5. Step 5: Solve for x
    x = 154,959,601.83/16,223.75
  6. Step 6: Final answer
    x = 9,551.41

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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.