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Finding the Fourth Proportional to 22,229.88, 30,653.82 and 13,831.80

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Solution

The fourth proportional to 22,229.88, 30,653.82 and 13,831.80 is: 19,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.88 : 30,653.82 = 13,831.80 : x
  2. Step 2: Convert to fraction form
    22,229.88/30,653.82 = 13,831.80/x
  3. Step 3: Cross multiply
    22,229.88x = 30,653.82 × 13,831.80
  4. Step 4: Simplify right side
    22,229.88x = 423,997,507.48
  5. Step 5: Solve for x
    x = 423,997,507.48/22,229.88
  6. Step 6: Final answer
    x = 19,073.32

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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.