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Finding the Fourth Proportional to 17,813.70, 26,724.60 and 10,414.35

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Solution

The fourth proportional to 17,813.70, 26,724.60 and 10,414.35 is: 15,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.70 : 26,724.60 = 10,414.35 : x
  2. Step 2: Convert to fraction form
    17,813.70/26,724.60 = 10,414.35/x
  3. Step 3: Cross multiply
    17,813.70x = 26,724.60 × 10,414.35
  4. Step 4: Simplify right side
    17,813.70x = 278,319,338.01
  5. Step 5: Solve for x
    x = 278,319,338.01/17,813.70
  6. Step 6: Final answer
    x = 15,623.89

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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.