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Finding the Fourth Proportional to 25,943.84, 38,916.66 and 8,413.82

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Solution

The fourth proportional to 25,943.84, 38,916.66 and 8,413.82 is: 12,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,943.84 : 38,916.66 = 8,413.82 : x
  2. Step 2: Convert to fraction form
    25,943.84/38,916.66 = 8,413.82/x
  3. Step 3: Cross multiply
    25,943.84x = 38,916.66 × 8,413.82
  4. Step 4: Simplify right side
    25,943.84x = 327,437,772.24
  5. Step 5: Solve for x
    x = 327,437,772.24/25,943.84
  6. Step 6: Final answer
    x = 12,621.02

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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.