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Finding the Fourth Proportional to 15,413.82, 21,271.12 and 8,340.24

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Solution

The fourth proportional to 15,413.82, 21,271.12 and 8,340.24 is: 11,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.82 : 21,271.12 = 8,340.24 : x
  2. Step 2: Convert to fraction form
    15,413.82/21,271.12 = 8,340.24/x
  3. Step 3: Cross multiply
    15,413.82x = 21,271.12 × 8,340.24
  4. Step 4: Simplify right side
    15,413.82x = 177,406,245.87
  5. Step 5: Solve for x
    x = 177,406,245.87/15,413.82
  6. Step 6: Final answer
    x = 11,509.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.