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Finding the Fourth Proportional to 13,033.98, 19,546.85 and 4,266.88

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Solution

The fourth proportional to 13,033.98, 19,546.85 and 4,266.88 is: 6,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.98 : 19,546.85 = 4,266.88 : x
  2. Step 2: Convert to fraction form
    13,033.98/19,546.85 = 4,266.88/x
  3. Step 3: Cross multiply
    13,033.98x = 19,546.85 × 4,266.88
  4. Step 4: Simplify right side
    13,033.98x = 83,404,025.13
  5. Step 5: Solve for x
    x = 83,404,025.13/13,033.98
  6. Step 6: Final answer
    x = 6,398.97

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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.