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Finding the Fourth Proportional to 22,398.04, 33,600.68 and 6,812

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Solution

The fourth proportional to 22,398.04, 33,600.68 and 6,812 is: 10,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398.04 : 33,600.68 = 6,812 : x
  2. Step 2: Convert to fraction form
    22,398.04/33,600.68 = 6,812/x
  3. Step 3: Cross multiply
    22,398.04x = 33,600.68 × 6,812
  4. Step 4: Simplify right side
    22,398.04x = 228,887,832.16
  5. Step 5: Solve for x
    x = 228,887,832.16/22,398.04
  6. Step 6: Final answer
    x = 10,219.10

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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.