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Finding the Fourth Proportional to 13,466.10, 20,200.20 and 4,106.94

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Solution

The fourth proportional to 13,466.10, 20,200.20 and 4,106.94 is: 6,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.10 : 20,200.20 = 4,106.94 : x
  2. Step 2: Convert to fraction form
    13,466.10/20,200.20 = 4,106.94/x
  3. Step 3: Cross multiply
    13,466.10x = 20,200.20 × 4,106.94
  4. Step 4: Simplify right side
    13,466.10x = 82,961,009.39
  5. Step 5: Solve for x
    x = 82,961,009.39/13,466.10
  6. Step 6: Final answer
    x = 6,160.73

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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.