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Finding the Fourth Proportional to 18,719.97, 25,833.15 and 10,222.26

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Solution

The fourth proportional to 18,719.97, 25,833.15 and 10,222.26 is: 14,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719.97 : 25,833.15 = 10,222.26 : x
  2. Step 2: Convert to fraction form
    18,719.97/25,833.15 = 10,222.26/x
  3. Step 3: Cross multiply
    18,719.97x = 25,833.15 × 10,222.26
  4. Step 4: Simplify right side
    18,719.97x = 264,073,175.92
  5. Step 5: Solve for x
    x = 264,073,175.92/18,719.97
  6. Step 6: Final answer
    x = 14,106.50

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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.