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Finding the Fourth Proportional to 16,275.27, 22,457.46 and 9,201.54

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Solution

The fourth proportional to 16,275.27, 22,457.46 and 9,201.54 is: 12,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.27 : 22,457.46 = 9,201.54 : x
  2. Step 2: Convert to fraction form
    16,275.27/22,457.46 = 9,201.54/x
  3. Step 3: Cross multiply
    16,275.27x = 22,457.46 × 9,201.54
  4. Step 4: Simplify right side
    16,275.27x = 206,643,216.49
  5. Step 5: Solve for x
    x = 206,643,216.49/16,275.27
  6. Step 6: Final answer
    x = 12,696.76

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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.