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Finding the Fourth Proportional to 21,814.02, 32,721.97 and 6,821.42

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Solution

The fourth proportional to 21,814.02, 32,721.97 and 6,821.42 is: 10,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.02 : 32,721.97 = 6,821.42 : x
  2. Step 2: Convert to fraction form
    21,814.02/32,721.97 = 6,821.42/x
  3. Step 3: Cross multiply
    21,814.02x = 32,721.97 × 6,821.42
  4. Step 4: Simplify right side
    21,814.02x = 223,210,423.30
  5. Step 5: Solve for x
    x = 223,210,423.30/21,814.02
  6. Step 6: Final answer
    x = 10,232.43

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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.