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Finding the Fourth Proportional to 16,200.72, 24,282.99 and 6,837.93

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Solution

The fourth proportional to 16,200.72, 24,282.99 and 6,837.93 is: 10,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.72 : 24,282.99 = 6,837.93 : x
  2. Step 2: Convert to fraction form
    16,200.72/24,282.99 = 6,837.93/x
  3. Step 3: Cross multiply
    16,200.72x = 24,282.99 × 6,837.93
  4. Step 4: Simplify right side
    16,200.72x = 166,045,385.81
  5. Step 5: Solve for x
    x = 166,045,385.81/16,200.72
  6. Step 6: Final answer
    x = 10,249.26

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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.