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Finding the Fourth Proportional to 17,099.16, 25,652.58 and 5,413.08

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Solution

The fourth proportional to 17,099.16, 25,652.58 and 5,413.08 is: 8,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.16 : 25,652.58 = 5,413.08 : x
  2. Step 2: Convert to fraction form
    17,099.16/25,652.58 = 5,413.08/x
  3. Step 3: Cross multiply
    17,099.16x = 25,652.58 × 5,413.08
  4. Step 4: Simplify right side
    17,099.16x = 138,859,467.75
  5. Step 5: Solve for x
    x = 138,859,467.75/17,099.16
  6. Step 6: Final answer
    x = 8,120.84

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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.