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Finding the Fourth Proportional to 22,201.18, 30,642.81 and 14,648.86

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Solution

The fourth proportional to 22,201.18, 30,642.81 and 14,648.86 is: 20,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.18 : 30,642.81 = 14,648.86 : x
  2. Step 2: Convert to fraction form
    22,201.18/30,642.81 = 14,648.86/x
  3. Step 3: Cross multiply
    22,201.18x = 30,642.81 × 14,648.86
  4. Step 4: Simplify right side
    22,201.18x = 448,882,233.70
  5. Step 5: Solve for x
    x = 448,882,233.70/22,201.18
  6. Step 6: Final answer
    x = 20,218.85

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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.