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Finding the Fourth Proportional to 16,236, 22,405.68 and 9,162.27

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Solution

The fourth proportional to 16,236, 22,405.68 and 9,162.27 is: 12,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236 : 22,405.68 = 9,162.27 : x
  2. Step 2: Convert to fraction form
    16,236/22,405.68 = 9,162.27/x
  3. Step 3: Cross multiply
    16,236x = 22,405.68 × 9,162.27
  4. Step 4: Simplify right side
    16,236x = 205,286,889.69
  5. Step 5: Solve for x
    x = 205,286,889.69/16,236
  6. Step 6: Final answer
    x = 12,643.93

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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.