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Finding the Fourth Proportional to 18,106.46, 27,167.48 and 8,753.47

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Solution

The fourth proportional to 18,106.46, 27,167.48 and 8,753.47 is: 13,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.46 : 27,167.48 = 8,753.47 : x
  2. Step 2: Convert to fraction form
    18,106.46/27,167.48 = 8,753.47/x
  3. Step 3: Cross multiply
    18,106.46x = 27,167.48 × 8,753.47
  4. Step 4: Simplify right side
    18,106.46x = 237,809,617.68
  5. Step 5: Solve for x
    x = 237,809,617.68/18,106.46
  6. Step 6: Final answer
    x = 13,133.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.