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Finding the Fourth Proportional to 16,284.38, 24,428.99 and 5,898.56

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Solution

The fourth proportional to 16,284.38, 24,428.99 and 5,898.56 is: 8,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.38 : 24,428.99 = 5,898.56 : x
  2. Step 2: Convert to fraction form
    16,284.38/24,428.99 = 5,898.56/x
  3. Step 3: Cross multiply
    16,284.38x = 24,428.99 × 5,898.56
  4. Step 4: Simplify right side
    16,284.38x = 144,095,755.86
  5. Step 5: Solve for x
    x = 144,095,755.86/16,284.38
  6. Step 6: Final answer
    x = 8,848.71

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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.