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Finding the Fourth Proportional to 16,238.70, 22,409.28 and 9,164.88

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Solution

The fourth proportional to 16,238.70, 22,409.28 and 9,164.88 is: 12,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.70 : 22,409.28 = 9,164.88 : x
  2. Step 2: Convert to fraction form
    16,238.70/22,409.28 = 9,164.88/x
  3. Step 3: Cross multiply
    16,238.70x = 22,409.28 × 9,164.88
  4. Step 4: Simplify right side
    16,238.70x = 205,378,362.09
  5. Step 5: Solve for x
    x = 205,378,362.09/16,238.70
  6. Step 6: Final answer
    x = 12,647.46

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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.