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Finding the Fourth Proportional to 14,832.25, 20,468.50 and 8,117.87

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Solution

The fourth proportional to 14,832.25, 20,468.50 and 8,117.87 is: 11,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.25 : 20,468.50 = 8,117.87 : x
  2. Step 2: Convert to fraction form
    14,832.25/20,468.50 = 8,117.87/x
  3. Step 3: Cross multiply
    14,832.25x = 20,468.50 × 8,117.87
  4. Step 4: Simplify right side
    14,832.25x = 166,160,652.97
  5. Step 5: Solve for x
    x = 166,160,652.97/14,832.25
  6. Step 6: Final answer
    x = 11,202.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.