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Finding the Fourth Proportional to 16,589.25, 24,894.81 and 6,201

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Solution

The fourth proportional to 16,589.25, 24,894.81 and 6,201 is: 9,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.25 : 24,894.81 = 6,201 : x
  2. Step 2: Convert to fraction form
    16,589.25/24,894.81 = 6,201/x
  3. Step 3: Cross multiply
    16,589.25x = 24,894.81 × 6,201
  4. Step 4: Simplify right side
    16,589.25x = 154,372,716.81
  5. Step 5: Solve for x
    x = 154,372,716.81/16,589.25
  6. Step 6: Final answer
    x = 9,305.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.