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Finding the Fourth Proportional to 18,457.98, 27,691.62 and 5,310.06

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Solution

The fourth proportional to 18,457.98, 27,691.62 and 5,310.06 is: 7,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.98 : 27,691.62 = 5,310.06 : x
  2. Step 2: Convert to fraction form
    18,457.98/27,691.62 = 5,310.06/x
  3. Step 3: Cross multiply
    18,457.98x = 27,691.62 × 5,310.06
  4. Step 4: Simplify right side
    18,457.98x = 147,044,163.70
  5. Step 5: Solve for x
    x = 147,044,163.70/18,457.98
  6. Step 6: Final answer
    x = 7,966.43

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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.