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Finding the Fourth Proportional to 13,484.86, 20,227.91 and 5,162.72

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Solution

The fourth proportional to 13,484.86, 20,227.91 and 5,162.72 is: 7,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.86 : 20,227.91 = 5,162.72 : x
  2. Step 2: Convert to fraction form
    13,484.86/20,227.91 = 5,162.72/x
  3. Step 3: Cross multiply
    13,484.86x = 20,227.91 × 5,162.72
  4. Step 4: Simplify right side
    13,484.86x = 104,430,908.56
  5. Step 5: Solve for x
    x = 104,430,908.56/13,484.86
  6. Step 6: Final answer
    x = 7,744.31

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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.