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Finding the Fourth Proportional to 15,697.11, 23,517.99 and 8,285.24

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Solution

The fourth proportional to 15,697.11, 23,517.99 and 8,285.24 is: 12,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.11 : 23,517.99 = 8,285.24 : x
  2. Step 2: Convert to fraction form
    15,697.11/23,517.99 = 8,285.24/x
  3. Step 3: Cross multiply
    15,697.11x = 23,517.99 × 8,285.24
  4. Step 4: Simplify right side
    15,697.11x = 194,852,191.47
  5. Step 5: Solve for x
    x = 194,852,191.47/15,697.11
  6. Step 6: Final answer
    x = 12,413.25

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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.