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Finding the Fourth Proportional to 13,713.37, 20,557.74 and 4,946.24

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Solution

The fourth proportional to 13,713.37, 20,557.74 and 4,946.24 is: 7,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.37 : 20,557.74 = 4,946.24 : x
  2. Step 2: Convert to fraction form
    13,713.37/20,557.74 = 4,946.24/x
  3. Step 3: Cross multiply
    13,713.37x = 20,557.74 × 4,946.24
  4. Step 4: Simplify right side
    13,713.37x = 101,683,413.11
  5. Step 5: Solve for x
    x = 101,683,413.11/13,713.37
  6. Step 6: Final answer
    x = 7,414.91

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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.