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Finding the Fourth Proportional to 22,831.44, 31,507.28 and 12,759.87

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Solution

The fourth proportional to 22,831.44, 31,507.28 and 12,759.87 is: 17,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.44 : 31,507.28 = 12,759.87 : x
  2. Step 2: Convert to fraction form
    22,831.44/31,507.28 = 12,759.87/x
  3. Step 3: Cross multiply
    22,831.44x = 31,507.28 × 12,759.87
  4. Step 4: Simplify right side
    22,831.44x = 402,028,764.95
  5. Step 5: Solve for x
    x = 402,028,764.95/22,831.44
  6. Step 6: Final answer
    x = 17,608.56

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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.