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Finding the Fourth Proportional to 17,422.98, 26,134.50 and 10,022.82

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Solution

The fourth proportional to 17,422.98, 26,134.50 and 10,022.82 is: 15,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.98 : 26,134.50 = 10,022.82 : x
  2. Step 2: Convert to fraction form
    17,422.98/26,134.50 = 10,022.82/x
  3. Step 3: Cross multiply
    17,422.98x = 26,134.50 × 10,022.82
  4. Step 4: Simplify right side
    17,422.98x = 261,941,389.29
  5. Step 5: Solve for x
    x = 261,941,389.29/17,422.98
  6. Step 6: Final answer
    x = 15,034.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.