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Finding the Fourth Proportional to 13,712.56, 20,566.41 and 4,947.55

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Solution

The fourth proportional to 13,712.56, 20,566.41 and 4,947.55 is: 7,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.56 : 20,566.41 = 4,947.55 : x
  2. Step 2: Convert to fraction form
    13,712.56/20,566.41 = 4,947.55/x
  3. Step 3: Cross multiply
    13,712.56x = 20,566.41 × 4,947.55
  4. Step 4: Simplify right side
    13,712.56x = 101,753,271.83
  5. Step 5: Solve for x
    x = 101,753,271.83/13,712.56
  6. Step 6: Final answer
    x = 7,420.44

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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.