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Finding the Fourth Proportional to 18,643.99, 25,729.22 and 10,146.19

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Solution

The fourth proportional to 18,643.99, 25,729.22 and 10,146.19 is: 14,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643.99 : 25,729.22 = 10,146.19 : x
  2. Step 2: Convert to fraction form
    18,643.99/25,729.22 = 10,146.19/x
  3. Step 3: Cross multiply
    18,643.99x = 25,729.22 × 10,146.19
  4. Step 4: Simplify right side
    18,643.99x = 261,053,375.29
  5. Step 5: Solve for x
    x = 261,053,375.29/18,643.99
  6. Step 6: Final answer
    x = 14,002.02

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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.