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Finding the Fourth Proportional to 16,565.18, 24,855.76 and 8,245.93

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Solution

The fourth proportional to 16,565.18, 24,855.76 and 8,245.93 is: 12,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.18 : 24,855.76 = 8,245.93 : x
  2. Step 2: Convert to fraction form
    16,565.18/24,855.76 = 8,245.93/x
  3. Step 3: Cross multiply
    16,565.18x = 24,855.76 × 8,245.93
  4. Step 4: Simplify right side
    16,565.18x = 204,958,857.06
  5. Step 5: Solve for x
    x = 204,958,857.06/16,565.18
  6. Step 6: Final answer
    x = 12,372.87

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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.