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Finding the Fourth Proportional to 17,641.80, 26,384.94 and 10,227.06

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Solution

The fourth proportional to 17,641.80, 26,384.94 and 10,227.06 is: 15,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.80 : 26,384.94 = 10,227.06 : x
  2. Step 2: Convert to fraction form
    17,641.80/26,384.94 = 10,227.06/x
  3. Step 3: Cross multiply
    17,641.80x = 26,384.94 × 10,227.06
  4. Step 4: Simplify right side
    17,641.80x = 269,840,364.48
  5. Step 5: Solve for x
    x = 269,840,364.48/17,641.80
  6. Step 6: Final answer
    x = 15,295.51

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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.