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Finding the Fourth Proportional to 27,893.54, 41,831.42 and 9,169.25

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Solution

The fourth proportional to 27,893.54, 41,831.42 and 9,169.25 is: 13,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.54 : 41,831.42 = 9,169.25 : x
  2. Step 2: Convert to fraction form
    27,893.54/41,831.42 = 9,169.25/x
  3. Step 3: Cross multiply
    27,893.54x = 41,831.42 × 9,169.25
  4. Step 4: Simplify right side
    27,893.54x = 383,562,492.83
  5. Step 5: Solve for x
    x = 383,562,492.83/27,893.54
  6. Step 6: Final answer
    x = 13,750.95

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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.