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Finding the Fourth Proportional to 22,697.22, 31,322.16 and 12,761.22

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Solution

The fourth proportional to 22,697.22, 31,322.16 and 12,761.22 is: 17,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,697.22 : 31,322.16 = 12,761.22 : x
  2. Step 2: Convert to fraction form
    22,697.22/31,322.16 = 12,761.22/x
  3. Step 3: Cross multiply
    22,697.22x = 31,322.16 × 12,761.22
  4. Step 4: Simplify right side
    22,697.22x = 399,708,974.64
  5. Step 5: Solve for x
    x = 399,708,974.64/22,697.22
  6. Step 6: Final answer
    x = 17,610.48

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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.