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Finding the Fourth Proportional to 17,166.96, 25,724.52 and 10,998

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Solution

The fourth proportional to 17,166.96, 25,724.52 and 10,998 is: 16,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166.96 : 25,724.52 = 10,998 : x
  2. Step 2: Convert to fraction form
    17,166.96/25,724.52 = 10,998/x
  3. Step 3: Cross multiply
    17,166.96x = 25,724.52 × 10,998
  4. Step 4: Simplify right side
    17,166.96x = 282,918,270.96
  5. Step 5: Solve for x
    x = 282,918,270.96/17,166.96
  6. Step 6: Final answer
    x = 16,480.39

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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.