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Finding the Fourth Proportional to 15,486.72, 21,371.57 and 8,413.08

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Solution

The fourth proportional to 15,486.72, 21,371.57 and 8,413.08 is: 11,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.72 : 21,371.57 = 8,413.08 : x
  2. Step 2: Convert to fraction form
    15,486.72/21,371.57 = 8,413.08/x
  3. Step 3: Cross multiply
    15,486.72x = 21,371.57 × 8,413.08
  4. Step 4: Simplify right side
    15,486.72x = 179,800,717.62
  5. Step 5: Solve for x
    x = 179,800,717.62/15,486.72
  6. Step 6: Final answer
    x = 11,609.99

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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.