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Finding the Fourth Proportional to 42,183.18, 63,274.77 and 11,016

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Solution

The fourth proportional to 42,183.18, 63,274.77 and 11,016 is: 16,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,183.18 : 63,274.77 = 11,016 : x
  2. Step 2: Convert to fraction form
    42,183.18/63,274.77 = 11,016/x
  3. Step 3: Cross multiply
    42,183.18x = 63,274.77 × 11,016
  4. Step 4: Simplify right side
    42,183.18x = 697,034,866.32
  5. Step 5: Solve for x
    x = 697,034,866.32/42,183.18
  6. Step 6: Final answer
    x = 16,524

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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.