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Finding the Fourth Proportional to 13,856.52, 20,772.18 and 5,534.76

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Solution

The fourth proportional to 13,856.52, 20,772.18 and 5,534.76 is: 8,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.52 : 20,772.18 = 5,534.76 : x
  2. Step 2: Convert to fraction form
    13,856.52/20,772.18 = 5,534.76/x
  3. Step 3: Cross multiply
    13,856.52x = 20,772.18 × 5,534.76
  4. Step 4: Simplify right side
    13,856.52x = 114,969,030.98
  5. Step 5: Solve for x
    x = 114,969,030.98/13,856.52
  6. Step 6: Final answer
    x = 8,297.11

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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.