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Finding the Fourth Proportional to 17,705.18, 26,553 and 5,221.52

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Solution

The fourth proportional to 17,705.18, 26,553 and 5,221.52 is: 7,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.18 : 26,553 = 5,221.52 : x
  2. Step 2: Convert to fraction form
    17,705.18/26,553 = 5,221.52/x
  3. Step 3: Cross multiply
    17,705.18x = 26,553 × 5,221.52
  4. Step 4: Simplify right side
    17,705.18x = 138,647,020.56
  5. Step 5: Solve for x
    x = 138,647,020.56/17,705.18
  6. Step 6: Final answer
    x = 7,830.87

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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.