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Finding the Fourth Proportional to 27,754.40, 41,617.20 and 10,215.20

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Solution

The fourth proportional to 27,754.40, 41,617.20 and 10,215.20 is: 15,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.40 : 41,617.20 = 10,215.20 : x
  2. Step 2: Convert to fraction form
    27,754.40/41,617.20 = 10,215.20/x
  3. Step 3: Cross multiply
    27,754.40x = 41,617.20 × 10,215.20
  4. Step 4: Simplify right side
    27,754.40x = 425,128,021.44
  5. Step 5: Solve for x
    x = 425,128,021.44/27,754.40
  6. Step 6: Final answer
    x = 15,317.50

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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.