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Finding the Fourth Proportional to 13,466.40, 20,201.76 and 6,073.44

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Solution

The fourth proportional to 13,466.40, 20,201.76 and 6,073.44 is: 9,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.40 : 20,201.76 = 6,073.44 : x
  2. Step 2: Convert to fraction form
    13,466.40/20,201.76 = 6,073.44/x
  3. Step 3: Cross multiply
    13,466.40x = 20,201.76 × 6,073.44
  4. Step 4: Simplify right side
    13,466.40x = 122,694,177.25
  5. Step 5: Solve for x
    x = 122,694,177.25/13,466.40
  6. Step 6: Final answer
    x = 9,111.13

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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.