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Finding the Fourth Proportional to 16,044.93, 22,142.30 and 8,971.20

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Solution

The fourth proportional to 16,044.93, 22,142.30 and 8,971.20 is: 12,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044.93 : 22,142.30 = 8,971.20 : x
  2. Step 2: Convert to fraction form
    16,044.93/22,142.30 = 8,971.20/x
  3. Step 3: Cross multiply
    16,044.93x = 22,142.30 × 8,971.20
  4. Step 4: Simplify right side
    16,044.93x = 198,642,956.90
  5. Step 5: Solve for x
    x = 198,642,956.90/16,044.93
  6. Step 6: Final answer
    x = 12,380.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.