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Finding the Fourth Proportional to 16,114.91, 22,238.22 and 8,944.40

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Solution

The fourth proportional to 16,114.91, 22,238.22 and 8,944.40 is: 12,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.91 : 22,238.22 = 8,944.40 : x
  2. Step 2: Convert to fraction form
    16,114.91/22,238.22 = 8,944.40/x
  3. Step 3: Cross multiply
    16,114.91x = 22,238.22 × 8,944.40
  4. Step 4: Simplify right side
    16,114.91x = 198,907,536.40
  5. Step 5: Solve for x
    x = 198,907,536.40/16,114.91
  6. Step 6: Final answer
    x = 12,343.08

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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.