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Finding the Fourth Proportional to 21,398.20, 32,098.84 and 6,605.20

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Solution

The fourth proportional to 21,398.20, 32,098.84 and 6,605.20 is: 9,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.20 : 32,098.84 = 6,605.20 : x
  2. Step 2: Convert to fraction form
    21,398.20/32,098.84 = 6,605.20/x
  3. Step 3: Cross multiply
    21,398.20x = 32,098.84 × 6,605.20
  4. Step 4: Simplify right side
    21,398.20x = 212,019,257.97
  5. Step 5: Solve for x
    x = 212,019,257.97/21,398.20
  6. Step 6: Final answer
    x = 9,908.28

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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.