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Finding the Fourth Proportional to 17,085.74, 25,628.45 and 5,398.96

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Solution

The fourth proportional to 17,085.74, 25,628.45 and 5,398.96 is: 8,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.74 : 25,628.45 = 5,398.96 : x
  2. Step 2: Convert to fraction form
    17,085.74/25,628.45 = 5,398.96/x
  3. Step 3: Cross multiply
    17,085.74x = 25,628.45 × 5,398.96
  4. Step 4: Simplify right side
    17,085.74x = 138,366,976.41
  5. Step 5: Solve for x
    x = 138,366,976.41/17,085.74
  6. Step 6: Final answer
    x = 8,098.39

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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.