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Finding the Fourth Proportional to 13,484.73, 20,217.52 and 5,157.73

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Solution

The fourth proportional to 13,484.73, 20,217.52 and 5,157.73 is: 7,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.73 : 20,217.52 = 5,157.73 : x
  2. Step 2: Convert to fraction form
    13,484.73/20,217.52 = 5,157.73/x
  3. Step 3: Cross multiply
    13,484.73x = 20,217.52 × 5,157.73
  4. Step 4: Simplify right side
    13,484.73x = 104,276,509.43
  5. Step 5: Solve for x
    x = 104,276,509.43/13,484.73
  6. Step 6: Final answer
    x = 7,732.93

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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.