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Finding the Fourth Proportional to 27,785.70, 41,650.20 and 13,724.10

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Solution

The fourth proportional to 27,785.70, 41,650.20 and 13,724.10 is: 20,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.70 : 41,650.20 = 13,724.10 : x
  2. Step 2: Convert to fraction form
    27,785.70/41,650.20 = 13,724.10/x
  3. Step 3: Cross multiply
    27,785.70x = 41,650.20 × 13,724.10
  4. Step 4: Simplify right side
    27,785.70x = 571,611,509.82
  5. Step 5: Solve for x
    x = 571,611,509.82/27,785.70
  6. Step 6: Final answer
    x = 20,572.15

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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.