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Finding the Fourth Proportional to 26,198.40, 39,274.56 and 12,364.16

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Solution

The fourth proportional to 26,198.40, 39,274.56 and 12,364.16 is: 18,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,198.40 : 39,274.56 = 12,364.16 : x
  2. Step 2: Convert to fraction form
    26,198.40/39,274.56 = 12,364.16/x
  3. Step 3: Cross multiply
    26,198.40x = 39,274.56 × 12,364.16
  4. Step 4: Simplify right side
    26,198.40x = 485,596,943.77
  5. Step 5: Solve for x
    x = 485,596,943.77/26,198.40
  6. Step 6: Final answer
    x = 18,535.37

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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.