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Finding the Fourth Proportional to 13,098, 19,650.60 and 3,864

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Solution

The fourth proportional to 13,098, 19,650.60 and 3,864 is: 5,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098 : 19,650.60 = 3,864 : x
  2. Step 2: Convert to fraction form
    13,098/19,650.60 = 3,864/x
  3. Step 3: Cross multiply
    13,098x = 19,650.60 × 3,864
  4. Step 4: Simplify right side
    13,098x = 75,929,918.40
  5. Step 5: Solve for x
    x = 75,929,918.40/13,098
  6. Step 6: Final answer
    x = 5,797.06

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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.