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Finding the Fourth Proportional to 13,542.80, 20,314.16 and 5,746.16

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Solution

The fourth proportional to 13,542.80, 20,314.16 and 5,746.16 is: 8,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.80 : 20,314.16 = 5,746.16 : x
  2. Step 2: Convert to fraction form
    13,542.80/20,314.16 = 5,746.16/x
  3. Step 3: Cross multiply
    13,542.80x = 20,314.16 × 5,746.16
  4. Step 4: Simplify right side
    13,542.80x = 116,728,413.63
  5. Step 5: Solve for x
    x = 116,728,413.63/13,542.80
  6. Step 6: Final answer
    x = 8,619.22

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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.