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Finding the Fourth Proportional to 19,929.38, 27,501.87 and 10,976.87

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Solution

The fourth proportional to 19,929.38, 27,501.87 and 10,976.87 is: 15,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929.38 : 27,501.87 = 10,976.87 : x
  2. Step 2: Convert to fraction form
    19,929.38/27,501.87 = 10,976.87/x
  3. Step 3: Cross multiply
    19,929.38x = 27,501.87 × 10,976.87
  4. Step 4: Simplify right side
    19,929.38x = 301,884,314.24
  5. Step 5: Solve for x
    x = 301,884,314.24/19,929.38
  6. Step 6: Final answer
    x = 15,147.71

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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.