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Finding the Fourth Proportional to 16,054.70, 24,083.00 and 6,194.03

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Solution

The fourth proportional to 16,054.70, 24,083.00 and 6,194.03 is: 9,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.70 : 24,083.00 = 6,194.03 : x
  2. Step 2: Convert to fraction form
    16,054.70/24,083.00 = 6,194.03/x
  3. Step 3: Cross multiply
    16,054.70x = 24,083.00 × 6,194.03
  4. Step 4: Simplify right side
    16,054.70x = 149,170,793.52
  5. Step 5: Solve for x
    x = 149,170,793.52/16,054.70
  6. Step 6: Final answer
    x = 9,291.41

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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.