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Finding the Fourth Proportional to 16,010.22, 24,016.49 and 6,149.50

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Solution

The fourth proportional to 16,010.22, 24,016.49 and 6,149.50 is: 9,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.22 : 24,016.49 = 6,149.50 : x
  2. Step 2: Convert to fraction form
    16,010.22/24,016.49 = 6,149.50/x
  3. Step 3: Cross multiply
    16,010.22x = 24,016.49 × 6,149.50
  4. Step 4: Simplify right side
    16,010.22x = 147,689,314.47
  5. Step 5: Solve for x
    x = 147,689,314.47/16,010.22
  6. Step 6: Final answer
    x = 9,224.69

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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.