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Finding the Fourth Proportional to 27,366.78, 41,040.09 and 9,831.90

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Solution

The fourth proportional to 27,366.78, 41,040.09 and 9,831.90 is: 14,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,366.78 : 41,040.09 = 9,831.90 : x
  2. Step 2: Convert to fraction form
    27,366.78/41,040.09 = 9,831.90/x
  3. Step 3: Cross multiply
    27,366.78x = 41,040.09 × 9,831.90
  4. Step 4: Simplify right side
    27,366.78x = 403,502,060.87
  5. Step 5: Solve for x
    x = 403,502,060.87/27,366.78
  6. Step 6: Final answer
    x = 14,744.23

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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.