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Finding the Fourth Proportional to 13,357.12, 20,038.54 and 3,997.86

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Solution

The fourth proportional to 13,357.12, 20,038.54 and 3,997.86 is: 5,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.12 : 20,038.54 = 3,997.86 : x
  2. Step 2: Convert to fraction form
    13,357.12/20,038.54 = 3,997.86/x
  3. Step 3: Cross multiply
    13,357.12x = 20,038.54 × 3,997.86
  4. Step 4: Simplify right side
    13,357.12x = 80,111,277.52
  5. Step 5: Solve for x
    x = 80,111,277.52/13,357.12
  6. Step 6: Final answer
    x = 5,997.65

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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.