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Finding the Fourth Proportional to 18,720.41, 25,833.78 and 10,222.20

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Solution

The fourth proportional to 18,720.41, 25,833.78 and 10,222.20 is: 14,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,720.41 : 25,833.78 = 10,222.20 : x
  2. Step 2: Convert to fraction form
    18,720.41/25,833.78 = 10,222.20/x
  3. Step 3: Cross multiply
    18,720.41x = 25,833.78 × 10,222.20
  4. Step 4: Simplify right side
    18,720.41x = 264,078,065.92
  5. Step 5: Solve for x
    x = 264,078,065.92/18,720.41
  6. Step 6: Final answer
    x = 14,106.43

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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.