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Finding the Fourth Proportional to 19,661.81, 27,133.38 and 10,709.24

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Solution

The fourth proportional to 19,661.81, 27,133.38 and 10,709.24 is: 14,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.81 : 27,133.38 = 10,709.24 : x
  2. Step 2: Convert to fraction form
    19,661.81/27,133.38 = 10,709.24/x
  3. Step 3: Cross multiply
    19,661.81x = 27,133.38 × 10,709.24
  4. Step 4: Simplify right side
    19,661.81x = 290,577,819.08
  5. Step 5: Solve for x
    x = 290,577,819.08/19,661.81
  6. Step 6: Final answer
    x = 14,778.79

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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.