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Finding the Fourth Proportional to 27,828, 41,742 and 11,412

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Solution

The fourth proportional to 27,828, 41,742 and 11,412 is: 17,118

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828 : 41,742 = 11,412 : x
  2. Step 2: Convert to fraction form
    27,828/41,742 = 11,412/x
  3. Step 3: Cross multiply
    27,828x = 41,742 × 11,412
  4. Step 4: Simplify right side
    27,828x = 476,359,704
  5. Step 5: Solve for x
    x = 476,359,704/27,828
  6. Step 6: Final answer
    x = 17,118

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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.