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Finding the Fourth Proportional to 16,288.17, 22,478.76 and 9,118.77

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Solution

The fourth proportional to 16,288.17, 22,478.76 and 9,118.77 is: 12,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.17 : 22,478.76 = 9,118.77 : x
  2. Step 2: Convert to fraction form
    16,288.17/22,478.76 = 9,118.77/x
  3. Step 3: Cross multiply
    16,288.17x = 22,478.76 × 9,118.77
  4. Step 4: Simplify right side
    16,288.17x = 204,978,642.33
  5. Step 5: Solve for x
    x = 204,978,642.33/16,288.17
  6. Step 6: Final answer
    x = 12,584.51

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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.