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Finding the Fourth Proportional to 13,029, 19,546.74 and 3,795

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Solution

The fourth proportional to 13,029, 19,546.74 and 3,795 is: 5,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029 : 19,546.74 = 3,795 : x
  2. Step 2: Convert to fraction form
    13,029/19,546.74 = 3,795/x
  3. Step 3: Cross multiply
    13,029x = 19,546.74 × 3,795
  4. Step 4: Simplify right side
    13,029x = 74,179,878.30
  5. Step 5: Solve for x
    x = 74,179,878.30/13,029
  6. Step 6: Final answer
    x = 5,693.44

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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.