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Finding the Fourth Proportional to 16,566.77, 22,861.92 and 9,013.01

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Solution

The fourth proportional to 16,566.77, 22,861.92 and 9,013.01 is: 12,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.77 : 22,861.92 = 9,013.01 : x
  2. Step 2: Convert to fraction form
    16,566.77/22,861.92 = 9,013.01/x
  3. Step 3: Cross multiply
    16,566.77x = 22,861.92 × 9,013.01
  4. Step 4: Simplify right side
    16,566.77x = 206,054,770.73
  5. Step 5: Solve for x
    x = 206,054,770.73/16,566.77
  6. Step 6: Final answer
    x = 12,437.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.