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Finding the Fourth Proportional to 21,807.94, 32,712.75 and 6,816.44

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Solution

The fourth proportional to 21,807.94, 32,712.75 and 6,816.44 is: 10,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807.94 : 32,712.75 = 6,816.44 : x
  2. Step 2: Convert to fraction form
    21,807.94/32,712.75 = 6,816.44/x
  3. Step 3: Cross multiply
    21,807.94x = 32,712.75 × 6,816.44
  4. Step 4: Simplify right side
    21,807.94x = 222,984,463.53
  5. Step 5: Solve for x
    x = 222,984,463.53/21,807.94
  6. Step 6: Final answer
    x = 10,224.92

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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.