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Finding the Fourth Proportional to 16,262.84, 24,377.65 and 9,227.99

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Solution

The fourth proportional to 16,262.84, 24,377.65 and 9,227.99 is: 13,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.84 : 24,377.65 = 9,227.99 : x
  2. Step 2: Convert to fraction form
    16,262.84/24,377.65 = 9,227.99/x
  3. Step 3: Cross multiply
    16,262.84x = 24,377.65 × 9,227.99
  4. Step 4: Simplify right side
    16,262.84x = 224,956,776.70
  5. Step 5: Solve for x
    x = 224,956,776.70/16,262.84
  6. Step 6: Final answer
    x = 13,832.56

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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.