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Finding the Fourth Proportional to 16,339, 24,500.22 and 6,977.56

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Solution

The fourth proportional to 16,339, 24,500.22 and 6,977.56 is: 10,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339 : 24,500.22 = 6,977.56 : x
  2. Step 2: Convert to fraction form
    16,339/24,500.22 = 6,977.56/x
  3. Step 3: Cross multiply
    16,339x = 24,500.22 × 6,977.56
  4. Step 4: Simplify right side
    16,339x = 170,951,755.06
  5. Step 5: Solve for x
    x = 170,951,755.06/16,339
  6. Step 6: Final answer
    x = 10,462.80

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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.