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Finding the Fourth Proportional to 21,634.04, 32,461.06 and 8,489.90

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Solution

The fourth proportional to 21,634.04, 32,461.06 and 8,489.90 is: 12,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.04 : 32,461.06 = 8,489.90 : x
  2. Step 2: Convert to fraction form
    21,634.04/32,461.06 = 8,489.90/x
  3. Step 3: Cross multiply
    21,634.04x = 32,461.06 × 8,489.90
  4. Step 4: Simplify right side
    21,634.04x = 275,591,153.29
  5. Step 5: Solve for x
    x = 275,591,153.29/21,634.04
  6. Step 6: Final answer
    x = 12,738.77

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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.