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Finding the Fourth Proportional to 14,976.74, 20,666.82 and 8,262.38

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Solution

The fourth proportional to 14,976.74, 20,666.82 and 8,262.38 is: 11,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976.74 : 20,666.82 = 8,262.38 : x
  2. Step 2: Convert to fraction form
    14,976.74/20,666.82 = 8,262.38/x
  3. Step 3: Cross multiply
    14,976.74x = 20,666.82 × 8,262.38
  4. Step 4: Simplify right side
    14,976.74x = 170,757,120.23
  5. Step 5: Solve for x
    x = 170,757,120.23/14,976.74
  6. Step 6: Final answer
    x = 11,401.49

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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.