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Finding the Fourth Proportional to 16,202.86, 24,249.38 and 9,966.82

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Solution

The fourth proportional to 16,202.86, 24,249.38 and 9,966.82 is: 14,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.86 : 24,249.38 = 9,966.82 : x
  2. Step 2: Convert to fraction form
    16,202.86/24,249.38 = 9,966.82/x
  3. Step 3: Cross multiply
    16,202.86x = 24,249.38 × 9,966.82
  4. Step 4: Simplify right side
    16,202.86x = 241,689,205.57
  5. Step 5: Solve for x
    x = 241,689,205.57/16,202.86
  6. Step 6: Final answer
    x = 14,916.45

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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.