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Finding the Fourth Proportional to 21,496.34, 32,069.96 and 20,333.78

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Solution

The fourth proportional to 21,496.34, 32,069.96 and 20,333.78 is: 30,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.34 : 32,069.96 = 20,333.78 : x
  2. Step 2: Convert to fraction form
    21,496.34/32,069.96 = 20,333.78/x
  3. Step 3: Cross multiply
    21,496.34x = 32,069.96 × 20,333.78
  4. Step 4: Simplify right side
    21,496.34x = 652,103,511.25
  5. Step 5: Solve for x
    x = 652,103,511.25/21,496.34
  6. Step 6: Final answer
    x = 30,335.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.