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Finding the Fourth Proportional to 13,552.86, 20,327.22 and 4,786.50

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Solution

The fourth proportional to 13,552.86, 20,327.22 and 4,786.50 is: 7,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.86 : 20,327.22 = 4,786.50 : x
  2. Step 2: Convert to fraction form
    13,552.86/20,327.22 = 4,786.50/x
  3. Step 3: Cross multiply
    13,552.86x = 20,327.22 × 4,786.50
  4. Step 4: Simplify right side
    13,552.86x = 97,296,238.53
  5. Step 5: Solve for x
    x = 97,296,238.53/13,552.86
  6. Step 6: Final answer
    x = 7,179.02

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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.