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Finding the Fourth Proportional to 16,187.68, 22,338.56 and 9,114.56

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Solution

The fourth proportional to 16,187.68, 22,338.56 and 9,114.56 is: 12,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.68 : 22,338.56 = 9,114.56 : x
  2. Step 2: Convert to fraction form
    16,187.68/22,338.56 = 9,114.56/x
  3. Step 3: Cross multiply
    16,187.68x = 22,338.56 × 9,114.56
  4. Step 4: Simplify right side
    16,187.68x = 203,606,145.43
  5. Step 5: Solve for x
    x = 203,606,145.43/16,187.68
  6. Step 6: Final answer
    x = 12,577.85

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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.