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Finding the Fourth Proportional to 27,825.70, 41,710.20 and 13,764.10

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Solution

The fourth proportional to 27,825.70, 41,710.20 and 13,764.10 is: 20,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.70 : 41,710.20 = 13,764.10 : x
  2. Step 2: Convert to fraction form
    27,825.70/41,710.20 = 13,764.10/x
  3. Step 3: Cross multiply
    27,825.70x = 41,710.20 × 13,764.10
  4. Step 4: Simplify right side
    27,825.70x = 574,103,363.82
  5. Step 5: Solve for x
    x = 574,103,363.82/27,825.70
  6. Step 6: Final answer
    x = 20,632.13

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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.