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Finding the Fourth Proportional to 16,266.37, 22,447.84 and 9,552.14

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Solution

The fourth proportional to 16,266.37, 22,447.84 and 9,552.14 is: 13,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.37 : 22,447.84 = 9,552.14 : x
  2. Step 2: Convert to fraction form
    16,266.37/22,447.84 = 9,552.14/x
  3. Step 3: Cross multiply
    16,266.37x = 22,447.84 × 9,552.14
  4. Step 4: Simplify right side
    16,266.37x = 214,424,910.38
  5. Step 5: Solve for x
    x = 214,424,910.38/16,266.37
  6. Step 6: Final answer
    x = 13,182.10

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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.