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Finding the Fourth Proportional to 16,391.69, 24,581.50 and 5,858.87

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Solution

The fourth proportional to 16,391.69, 24,581.50 and 5,858.87 is: 8,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,391.69 : 24,581.50 = 5,858.87 : x
  2. Step 2: Convert to fraction form
    16,391.69/24,581.50 = 5,858.87/x
  3. Step 3: Cross multiply
    16,391.69x = 24,581.50 × 5,858.87
  4. Step 4: Simplify right side
    16,391.69x = 144,019,675.35
  5. Step 5: Solve for x
    x = 144,019,675.35/16,391.69
  6. Step 6: Final answer
    x = 8,786.14

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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.