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Finding the Fourth Proportional to 19,690.86, 27,173.04 and 10,738.38

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Solution

The fourth proportional to 19,690.86, 27,173.04 and 10,738.38 is: 14,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.86 : 27,173.04 = 10,738.38 : x
  2. Step 2: Convert to fraction form
    19,690.86/27,173.04 = 10,738.38/x
  3. Step 3: Cross multiply
    19,690.86x = 27,173.04 × 10,738.38
  4. Step 4: Simplify right side
    19,690.86x = 291,794,429.28
  5. Step 5: Solve for x
    x = 291,794,429.28/19,690.86
  6. Step 6: Final answer
    x = 14,818.78

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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.