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Finding the Fourth Proportional to 27,766, 41,653.33 and 9,041.62

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Solution

The fourth proportional to 27,766, 41,653.33 and 9,041.62 is: 13,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766 : 41,653.33 = 9,041.62 : x
  2. Step 2: Convert to fraction form
    27,766/41,653.33 = 9,041.62/x
  3. Step 3: Cross multiply
    27,766x = 41,653.33 × 9,041.62
  4. Step 4: Simplify right side
    27,766x = 376,613,581.59
  5. Step 5: Solve for x
    x = 376,613,581.59/27,766
  6. Step 6: Final answer
    x = 13,563.84

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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.