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Finding the Fourth Proportional to 22,831.56, 31,522.41 and 20,437.38

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Solution

The fourth proportional to 22,831.56, 31,522.41 and 20,437.38 is: 28,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.56 : 31,522.41 = 20,437.38 : x
  2. Step 2: Convert to fraction form
    22,831.56/31,522.41 = 20,437.38/x
  3. Step 3: Cross multiply
    22,831.56x = 31,522.41 × 20,437.38
  4. Step 4: Simplify right side
    22,831.56x = 644,235,471.69
  5. Step 5: Solve for x
    x = 644,235,471.69/22,831.56
  6. Step 6: Final answer
    x = 28,216.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.