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Finding the Fourth Proportional to 14,787.72, 20,407.32 and 8,413.56

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Solution

The fourth proportional to 14,787.72, 20,407.32 and 8,413.56 is: 11,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.72 : 20,407.32 = 8,413.56 : x
  2. Step 2: Convert to fraction form
    14,787.72/20,407.32 = 8,413.56/x
  3. Step 3: Cross multiply
    14,787.72x = 20,407.32 × 8,413.56
  4. Step 4: Simplify right side
    14,787.72x = 171,698,211.26
  5. Step 5: Solve for x
    x = 171,698,211.26/14,787.72
  6. Step 6: Final answer
    x = 11,610.86

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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.