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Finding the Fourth Proportional to 21,343.77, 32,038.20 and 11,991.78

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Solution

The fourth proportional to 21,343.77, 32,038.20 and 11,991.78 is: 18,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.77 : 32,038.20 = 11,991.78 : x
  2. Step 2: Convert to fraction form
    21,343.77/32,038.20 = 11,991.78/x
  3. Step 3: Cross multiply
    21,343.77x = 32,038.20 × 11,991.78
  4. Step 4: Simplify right side
    21,343.77x = 384,195,046.00
  5. Step 5: Solve for x
    x = 384,195,046.00/21,343.77
  6. Step 6: Final answer
    x = 18,000.34

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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.