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Finding the Fourth Proportional to 27,726.50, 41,590.11 and 9,258.50

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Solution

The fourth proportional to 27,726.50, 41,590.11 and 9,258.50 is: 13,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.50 : 41,590.11 = 9,258.50 : x
  2. Step 2: Convert to fraction form
    27,726.50/41,590.11 = 9,258.50/x
  3. Step 3: Cross multiply
    27,726.50x = 41,590.11 × 9,258.50
  4. Step 4: Simplify right side
    27,726.50x = 385,062,033.44
  5. Step 5: Solve for x
    x = 385,062,033.44/27,726.50
  6. Step 6: Final answer
    x = 13,887.87

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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.