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Finding the Fourth Proportional to 27,087.49, 40,647.35 and 12,296.22

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Solution

The fourth proportional to 27,087.49, 40,647.35 and 12,296.22 is: 18,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,087.49 : 40,647.35 = 12,296.22 : x
  2. Step 2: Convert to fraction form
    27,087.49/40,647.35 = 12,296.22/x
  3. Step 3: Cross multiply
    27,087.49x = 40,647.35 × 12,296.22
  4. Step 4: Simplify right side
    27,087.49x = 499,808,758.02
  5. Step 5: Solve for x
    x = 499,808,758.02/27,087.49
  6. Step 6: Final answer
    x = 18,451.65

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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.