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Finding the Fourth Proportional to 13,485.94, 20,220.46 and 4,122.86

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Solution

The fourth proportional to 13,485.94, 20,220.46 and 4,122.86 is: 6,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.94 : 20,220.46 = 4,122.86 : x
  2. Step 2: Convert to fraction form
    13,485.94/20,220.46 = 4,122.86/x
  3. Step 3: Cross multiply
    13,485.94x = 20,220.46 × 4,122.86
  4. Step 4: Simplify right side
    13,485.94x = 83,366,125.72
  5. Step 5: Solve for x
    x = 83,366,125.72/13,485.94
  6. Step 6: Final answer
    x = 6,181.71

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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.