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Finding the Fourth Proportional to 27,219.50, 40,831.83 and 10,580.82

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Solution

The fourth proportional to 27,219.50, 40,831.83 and 10,580.82 is: 15,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.50 : 40,831.83 = 10,580.82 : x
  2. Step 2: Convert to fraction form
    27,219.50/40,831.83 = 10,580.82/x
  3. Step 3: Cross multiply
    27,219.50x = 40,831.83 × 10,580.82
  4. Step 4: Simplify right side
    27,219.50x = 432,034,243.50
  5. Step 5: Solve for x
    x = 432,034,243.50/27,219.50
  6. Step 6: Final answer
    x = 15,872.23

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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.