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Finding the Fourth Proportional to 19,674.48, 27,151.14 and 10,722

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Solution

The fourth proportional to 19,674.48, 27,151.14 and 10,722 is: 14,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.48 : 27,151.14 = 10,722 : x
  2. Step 2: Convert to fraction form
    19,674.48/27,151.14 = 10,722/x
  3. Step 3: Cross multiply
    19,674.48x = 27,151.14 × 10,722
  4. Step 4: Simplify right side
    19,674.48x = 291,114,523.08
  5. Step 5: Solve for x
    x = 291,114,523.08/19,674.48
  6. Step 6: Final answer
    x = 14,796.55

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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.