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Finding the Fourth Proportional to 12,847.47, 19,273.42 and 4,413.57

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Solution

The fourth proportional to 12,847.47, 19,273.42 and 4,413.57 is: 6,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.47 : 19,273.42 = 4,413.57 : x
  2. Step 2: Convert to fraction form
    12,847.47/19,273.42 = 4,413.57/x
  3. Step 3: Cross multiply
    12,847.47x = 19,273.42 × 4,413.57
  4. Step 4: Simplify right side
    12,847.47x = 85,064,588.31
  5. Step 5: Solve for x
    x = 85,064,588.31/12,847.47
  6. Step 6: Final answer
    x = 6,621.12

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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.