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Finding the Fourth Proportional to 13,485.96, 20,177.10 and 8,220.02

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Solution

The fourth proportional to 13,485.96, 20,177.10 and 8,220.02 is: 12,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.96 : 20,177.10 = 8,220.02 : x
  2. Step 2: Convert to fraction form
    13,485.96/20,177.10 = 8,220.02/x
  3. Step 3: Cross multiply
    13,485.96x = 20,177.10 × 8,220.02
  4. Step 4: Simplify right side
    13,485.96x = 165,856,064.66
  5. Step 5: Solve for x
    x = 165,856,064.66/13,485.96
  6. Step 6: Final answer
    x = 12,298.42

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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.