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Finding the Fourth Proportional to 17,131.74, 25,697.22 and 7,897.74

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Solution

The fourth proportional to 17,131.74, 25,697.22 and 7,897.74 is: 11,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.74 : 25,697.22 = 7,897.74 : x
  2. Step 2: Convert to fraction form
    17,131.74/25,697.22 = 7,897.74/x
  3. Step 3: Cross multiply
    17,131.74x = 25,697.22 × 7,897.74
  4. Step 4: Simplify right side
    17,131.74x = 202,949,962.28
  5. Step 5: Solve for x
    x = 202,949,962.28/17,131.74
  6. Step 6: Final answer
    x = 11,846.43

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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.