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Finding the Fourth Proportional to 19,136.64, 28,704.96 and 6,816

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Solution

The fourth proportional to 19,136.64, 28,704.96 and 6,816 is: 10,224

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.64 : 28,704.96 = 6,816 : x
  2. Step 2: Convert to fraction form
    19,136.64/28,704.96 = 6,816/x
  3. Step 3: Cross multiply
    19,136.64x = 28,704.96 × 6,816
  4. Step 4: Simplify right side
    19,136.64x = 195,653,007.36
  5. Step 5: Solve for x
    x = 195,653,007.36/19,136.64
  6. Step 6: Final answer
    x = 10,224

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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.