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Finding the Fourth Proportional to 21,413.49, 32,111.72 and 8,257.47

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Solution

The fourth proportional to 21,413.49, 32,111.72 and 8,257.47 is: 12,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.49 : 32,111.72 = 8,257.47 : x
  2. Step 2: Convert to fraction form
    21,413.49/32,111.72 = 8,257.47/x
  3. Step 3: Cross multiply
    21,413.49x = 32,111.72 × 8,257.47
  4. Step 4: Simplify right side
    21,413.49x = 265,161,403.99
  5. Step 5: Solve for x
    x = 265,161,403.99/21,413.49
  6. Step 6: Final answer
    x = 12,382.92

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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.