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Finding the Fourth Proportional to 14,787.22, 20,402.46 and 8,413.87

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Solution

The fourth proportional to 14,787.22, 20,402.46 and 8,413.87 is: 11,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.22 : 20,402.46 = 8,413.87 : x
  2. Step 2: Convert to fraction form
    14,787.22/20,402.46 = 8,413.87/x
  3. Step 3: Cross multiply
    14,787.22x = 20,402.46 × 8,413.87
  4. Step 4: Simplify right side
    14,787.22x = 171,663,646.12
  5. Step 5: Solve for x
    x = 171,663,646.12/14,787.22
  6. Step 6: Final answer
    x = 11,608.92

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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.