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Finding the Fourth Proportional to 21,638.18, 32,454.02 and 6,845.17

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Solution

The fourth proportional to 21,638.18, 32,454.02 and 6,845.17 is: 10,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.18 : 32,454.02 = 6,845.17 : x
  2. Step 2: Convert to fraction form
    21,638.18/32,454.02 = 6,845.17/x
  3. Step 3: Cross multiply
    21,638.18x = 32,454.02 × 6,845.17
  4. Step 4: Simplify right side
    21,638.18x = 222,153,348.11
  5. Step 5: Solve for x
    x = 222,153,348.11/21,638.18
  6. Step 6: Final answer
    x = 10,266.73

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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.