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Finding the Fourth Proportional to 13,761.76, 20,642.64 and 5,548

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Solution

The fourth proportional to 13,761.76, 20,642.64 and 5,548 is: 8,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.76 : 20,642.64 = 5,548 : x
  2. Step 2: Convert to fraction form
    13,761.76/20,642.64 = 5,548/x
  3. Step 3: Cross multiply
    13,761.76x = 20,642.64 × 5,548
  4. Step 4: Simplify right side
    13,761.76x = 114,525,366.72
  5. Step 5: Solve for x
    x = 114,525,366.72/13,761.76
  6. Step 6: Final answer
    x = 8,322

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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.