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Finding the Fourth Proportional to 21,841.40, 32,734.68 and 9,346.73

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Solution

The fourth proportional to 21,841.40, 32,734.68 and 9,346.73 is: 14,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.40 : 32,734.68 = 9,346.73 : x
  2. Step 2: Convert to fraction form
    21,841.40/32,734.68 = 9,346.73/x
  3. Step 3: Cross multiply
    21,841.40x = 32,734.68 × 9,346.73
  4. Step 4: Simplify right side
    21,841.40x = 305,962,215.60
  5. Step 5: Solve for x
    x = 305,962,215.60/21,841.40
  6. Step 6: Final answer
    x = 14,008.36

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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.