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Finding the Fourth Proportional to 25,831.48, 38,747.22 and 8,313.61

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Solution

The fourth proportional to 25,831.48, 38,747.22 and 8,313.61 is: 12,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.48 : 38,747.22 = 8,313.61 : x
  2. Step 2: Convert to fraction form
    25,831.48/38,747.22 = 8,313.61/x
  3. Step 3: Cross multiply
    25,831.48x = 38,747.22 × 8,313.61
  4. Step 4: Simplify right side
    25,831.48x = 322,129,234.10
  5. Step 5: Solve for x
    x = 322,129,234.10/25,831.48
  6. Step 6: Final answer
    x = 12,470.41

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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.