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Finding the Fourth Proportional to 18,700.20, 27,967.68 and 16,634.70

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Solution

The fourth proportional to 18,700.20, 27,967.68 and 16,634.70 is: 24,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,700.20 : 27,967.68 = 16,634.70 : x
  2. Step 2: Convert to fraction form
    18,700.20/27,967.68 = 16,634.70/x
  3. Step 3: Cross multiply
    18,700.20x = 27,967.68 × 16,634.70
  4. Step 4: Simplify right side
    18,700.20x = 465,233,966.50
  5. Step 5: Solve for x
    x = 465,233,966.50/18,700.20
  6. Step 6: Final answer
    x = 24,878.56

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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.