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Finding the Fourth Proportional to 19,659.20, 27,138.96 and 11,590.38

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Solution

The fourth proportional to 19,659.20, 27,138.96 and 11,590.38 is: 16,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.20 : 27,138.96 = 11,590.38 : x
  2. Step 2: Convert to fraction form
    19,659.20/27,138.96 = 11,590.38/x
  3. Step 3: Cross multiply
    19,659.20x = 27,138.96 × 11,590.38
  4. Step 4: Simplify right side
    19,659.20x = 314,550,859.20
  5. Step 5: Solve for x
    x = 314,550,859.20/19,659.20
  6. Step 6: Final answer
    x = 16,000.19

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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.