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Finding the Fourth Proportional to 14,744.63, 20,332.01 and 10,961.73

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Solution

The fourth proportional to 14,744.63, 20,332.01 and 10,961.73 is: 15,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.63 : 20,332.01 = 10,961.73 : x
  2. Step 2: Convert to fraction form
    14,744.63/20,332.01 = 10,961.73/x
  3. Step 3: Cross multiply
    14,744.63x = 20,332.01 × 10,961.73
  4. Step 4: Simplify right side
    14,744.63x = 222,874,031.38
  5. Step 5: Solve for x
    x = 222,874,031.38/14,744.63
  6. Step 6: Final answer
    x = 15,115.60

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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.