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Finding the Fourth Proportional to 16,238.68, 22,393.83 and 9,866.32

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Solution

The fourth proportional to 16,238.68, 22,393.83 and 9,866.32 is: 13,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.68 : 22,393.83 = 9,866.32 : x
  2. Step 2: Convert to fraction form
    16,238.68/22,393.83 = 9,866.32/x
  3. Step 3: Cross multiply
    16,238.68x = 22,393.83 × 9,866.32
  4. Step 4: Simplify right side
    16,238.68x = 220,944,692.81
  5. Step 5: Solve for x
    x = 220,944,692.81/16,238.68
  6. Step 6: Final answer
    x = 13,606.07

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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.