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Finding the Fourth Proportional to 16,206.26, 22,364.63 and 8,754.26

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Solution

The fourth proportional to 16,206.26, 22,364.63 and 8,754.26 is: 12,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.26 : 22,364.63 = 8,754.26 : x
  2. Step 2: Convert to fraction form
    16,206.26/22,364.63 = 8,754.26/x
  3. Step 3: Cross multiply
    16,206.26x = 22,364.63 × 8,754.26
  4. Step 4: Simplify right side
    16,206.26x = 195,785,838.10
  5. Step 5: Solve for x
    x = 195,785,838.10/16,206.26
  6. Step 6: Final answer
    x = 12,080.88

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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.