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Finding the Fourth Proportional to 16,764.72, 25,138.44 and 6,902.16

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Solution

The fourth proportional to 16,764.72, 25,138.44 and 6,902.16 is: 10,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764.72 : 25,138.44 = 6,902.16 : x
  2. Step 2: Convert to fraction form
    16,764.72/25,138.44 = 6,902.16/x
  3. Step 3: Cross multiply
    16,764.72x = 25,138.44 × 6,902.16
  4. Step 4: Simplify right side
    16,764.72x = 173,509,535.03
  5. Step 5: Solve for x
    x = 173,509,535.03/16,764.72
  6. Step 6: Final answer
    x = 10,349.68

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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.