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Finding the Fourth Proportional to 16,022.90, 22,110.86 and 8,949.18

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Solution

The fourth proportional to 16,022.90, 22,110.86 and 8,949.18 is: 12,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.90 : 22,110.86 = 8,949.18 : x
  2. Step 2: Convert to fraction form
    16,022.90/22,110.86 = 8,949.18/x
  3. Step 3: Cross multiply
    16,022.90x = 22,110.86 × 8,949.18
  4. Step 4: Simplify right side
    16,022.90x = 197,874,066.09
  5. Step 5: Solve for x
    x = 197,874,066.09/16,022.90
  6. Step 6: Final answer
    x = 12,349.45

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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.