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Finding the Fourth Proportional to 16,813.62, 23,197.24 and 10,849.26

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Solution

The fourth proportional to 16,813.62, 23,197.24 and 10,849.26 is: 14,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.62 : 23,197.24 = 10,849.26 : x
  2. Step 2: Convert to fraction form
    16,813.62/23,197.24 = 10,849.26/x
  3. Step 3: Cross multiply
    16,813.62x = 23,197.24 × 10,849.26
  4. Step 4: Simplify right side
    16,813.62x = 251,672,799.18
  5. Step 5: Solve for x
    x = 251,672,799.18/16,813.62
  6. Step 6: Final answer
    x = 14,968.39

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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.