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Finding the Fourth Proportional to 13,153.35, 19,712.74 and 6,229.83

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Solution

The fourth proportional to 13,153.35, 19,712.74 and 6,229.83 is: 9,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.35 : 19,712.74 = 6,229.83 : x
  2. Step 2: Convert to fraction form
    13,153.35/19,712.74 = 6,229.83/x
  3. Step 3: Cross multiply
    13,153.35x = 19,712.74 × 6,229.83
  4. Step 4: Simplify right side
    13,153.35x = 122,807,019.03
  5. Step 5: Solve for x
    x = 122,807,019.03/13,153.35
  6. Step 6: Final answer
    x = 9,336.56

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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.