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Finding the Fourth Proportional to 16,266.30, 22,447.67 and 9,552

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Solution

The fourth proportional to 16,266.30, 22,447.67 and 9,552 is: 13,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.30 : 22,447.67 = 9,552 : x
  2. Step 2: Convert to fraction form
    16,266.30/22,447.67 = 9,552/x
  3. Step 3: Cross multiply
    16,266.30x = 22,447.67 × 9,552
  4. Step 4: Simplify right side
    16,266.30x = 214,420,143.84
  5. Step 5: Solve for x
    x = 214,420,143.84/16,266.30
  6. Step 6: Final answer
    x = 13,181.86

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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.