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Finding the Fourth Proportional to 27,564.69, 41,340.81 and 7,842.81

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Solution

The fourth proportional to 27,564.69, 41,340.81 and 7,842.81 is: 11,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.69 : 41,340.81 = 7,842.81 : x
  2. Step 2: Convert to fraction form
    27,564.69/41,340.81 = 7,842.81/x
  3. Step 3: Cross multiply
    27,564.69x = 41,340.81 × 7,842.81
  4. Step 4: Simplify right side
    27,564.69x = 324,228,118.08
  5. Step 5: Solve for x
    x = 324,228,118.08/27,564.69
  6. Step 6: Final answer
    x = 11,762.44

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Why These Related Problems?

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