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Finding the Fourth Proportional to 16,109.86, 22,232.74 and 8,940.14

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Solution

The fourth proportional to 16,109.86, 22,232.74 and 8,940.14 is: 12,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.86 : 22,232.74 = 8,940.14 : x
  2. Step 2: Convert to fraction form
    16,109.86/22,232.74 = 8,940.14/x
  3. Step 3: Cross multiply
    16,109.86x = 22,232.74 × 8,940.14
  4. Step 4: Simplify right side
    16,109.86x = 198,763,808.18
  5. Step 5: Solve for x
    x = 198,763,808.18/16,109.86
  6. Step 6: Final answer
    x = 12,338.02

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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.