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Finding the Fourth Proportional to 14,977.14, 20,669.12 and 8,605.79

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Solution

The fourth proportional to 14,977.14, 20,669.12 and 8,605.79 is: 11,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.14 : 20,669.12 = 8,605.79 : x
  2. Step 2: Convert to fraction form
    14,977.14/20,669.12 = 8,605.79/x
  3. Step 3: Cross multiply
    14,977.14x = 20,669.12 × 8,605.79
  4. Step 4: Simplify right side
    14,977.14x = 177,874,179.39
  5. Step 5: Solve for x
    x = 177,874,179.39/14,977.14
  6. Step 6: Final answer
    x = 11,876.38

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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.