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Finding the Fourth Proportional to 12,296.88, 18,431.28 and 5,274.72

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Solution

The fourth proportional to 12,296.88, 18,431.28 and 5,274.72 is: 7,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.88 : 18,431.28 = 5,274.72 : x
  2. Step 2: Convert to fraction form
    12,296.88/18,431.28 = 5,274.72/x
  3. Step 3: Cross multiply
    12,296.88x = 18,431.28 × 5,274.72
  4. Step 4: Simplify right side
    12,296.88x = 97,219,841.24
  5. Step 5: Solve for x
    x = 97,219,841.24/12,296.88
  6. Step 6: Final answer
    x = 7,906.06

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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.