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Finding the Fourth Proportional to 27,496, 41,223.76 and 8,765.24

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Solution

The fourth proportional to 27,496, 41,223.76 and 8,765.24 is: 13,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496 : 41,223.76 = 8,765.24 : x
  2. Step 2: Convert to fraction form
    27,496/41,223.76 = 8,765.24/x
  3. Step 3: Cross multiply
    27,496x = 41,223.76 × 8,765.24
  4. Step 4: Simplify right side
    27,496x = 361,336,150.10
  5. Step 5: Solve for x
    x = 361,336,150.10/27,496
  6. Step 6: Final answer
    x = 13,141.41

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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.