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Finding the Fourth Proportional to 16,201.23, 22,357.68 and 9,127.71

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Solution

The fourth proportional to 16,201.23, 22,357.68 and 9,127.71 is: 12,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.23 : 22,357.68 = 9,127.71 : x
  2. Step 2: Convert to fraction form
    16,201.23/22,357.68 = 9,127.71/x
  3. Step 3: Cross multiply
    16,201.23x = 22,357.68 × 9,127.71
  4. Step 4: Simplify right side
    16,201.23x = 204,074,419.31
  5. Step 5: Solve for x
    x = 204,074,419.31/16,201.23
  6. Step 6: Final answer
    x = 12,596.23

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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.