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Finding the Fourth Proportional to 13,773.99, 20,652.59 and 5,872.08

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Solution

The fourth proportional to 13,773.99, 20,652.59 and 5,872.08 is: 8,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.99 : 20,652.59 = 5,872.08 : x
  2. Step 2: Convert to fraction form
    13,773.99/20,652.59 = 5,872.08/x
  3. Step 3: Cross multiply
    13,773.99x = 20,652.59 × 5,872.08
  4. Step 4: Simplify right side
    13,773.99x = 121,273,660.69
  5. Step 5: Solve for x
    x = 121,273,660.69/13,773.99
  6. Step 6: Final answer
    x = 8,804.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.