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Finding the Fourth Proportional to 27,221.48, 40,831.26 and 8,753

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Solution

The fourth proportional to 27,221.48, 40,831.26 and 8,753 is: 13,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221.48 : 40,831.26 = 8,753 : x
  2. Step 2: Convert to fraction form
    27,221.48/40,831.26 = 8,753/x
  3. Step 3: Cross multiply
    27,221.48x = 40,831.26 × 8,753
  4. Step 4: Simplify right side
    27,221.48x = 357,396,018.78
  5. Step 5: Solve for x
    x = 357,396,018.78/27,221.48
  6. Step 6: Final answer
    x = 13,129.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.