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Finding the Fourth Proportional to 16,645.78, 22,971.12 and 9,193.78

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Solution

The fourth proportional to 16,645.78, 22,971.12 and 9,193.78 is: 12,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.78 : 22,971.12 = 9,193.78 : x
  2. Step 2: Convert to fraction form
    16,645.78/22,971.12 = 9,193.78/x
  3. Step 3: Cross multiply
    16,645.78x = 22,971.12 × 9,193.78
  4. Step 4: Simplify right side
    16,645.78x = 211,191,423.63
  5. Step 5: Solve for x
    x = 211,191,423.63/16,645.78
  6. Step 6: Final answer
    x = 12,687.39

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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.