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Finding the Fourth Proportional to 16,566.47, 22,861.38 and 9,012.98

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Solution

The fourth proportional to 16,566.47, 22,861.38 and 9,012.98 is: 12,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.47 : 22,861.38 = 9,012.98 : x
  2. Step 2: Convert to fraction form
    16,566.47/22,861.38 = 9,012.98/x
  3. Step 3: Cross multiply
    16,566.47x = 22,861.38 × 9,012.98
  4. Step 4: Simplify right side
    16,566.47x = 206,049,217.87
  5. Step 5: Solve for x
    x = 206,049,217.87/16,566.47
  6. Step 6: Final answer
    x = 12,437.73

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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.