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Finding the Fourth Proportional to 23,012.80, 31,777.59 and 21,831.82

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Solution

The fourth proportional to 23,012.80, 31,777.59 and 21,831.82 is: 30,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.80 : 31,777.59 = 21,831.82 : x
  2. Step 2: Convert to fraction form
    23,012.80/31,777.59 = 21,831.82/x
  3. Step 3: Cross multiply
    23,012.80x = 31,777.59 × 21,831.82
  4. Step 4: Simplify right side
    23,012.80x = 693,762,624.91
  5. Step 5: Solve for x
    x = 693,762,624.91/23,012.80
  6. Step 6: Final answer
    x = 30,146.82

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