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Finding the Fourth Proportional to 14,496.22, 20,004.86 and 8,122.83

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Solution

The fourth proportional to 14,496.22, 20,004.86 and 8,122.83 is: 11,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.22 : 20,004.86 = 8,122.83 : x
  2. Step 2: Convert to fraction form
    14,496.22/20,004.86 = 8,122.83/x
  3. Step 3: Cross multiply
    14,496.22x = 20,004.86 × 8,122.83
  4. Step 4: Simplify right side
    14,496.22x = 162,495,976.93
  5. Step 5: Solve for x
    x = 162,495,976.93/14,496.22
  6. Step 6: Final answer
    x = 11,209.54

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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.