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Finding the Fourth Proportional to 27,665.69, 41,417.80 and 20,581.36

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Solution

The fourth proportional to 27,665.69, 41,417.80 and 20,581.36 is: 30,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.69 : 41,417.80 = 20,581.36 : x
  2. Step 2: Convert to fraction form
    27,665.69/41,417.80 = 20,581.36/x
  3. Step 3: Cross multiply
    27,665.69x = 41,417.80 × 20,581.36
  4. Step 4: Simplify right side
    27,665.69x = 852,434,342.21
  5. Step 5: Solve for x
    x = 852,434,342.21/27,665.69
  6. Step 6: Final answer
    x = 30,811.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.