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Finding the Fourth Proportional to 16,313.70, 24,471.48 and 4,626

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Solution

The fourth proportional to 16,313.70, 24,471.48 and 4,626 is: 6,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.70 : 24,471.48 = 4,626 : x
  2. Step 2: Convert to fraction form
    16,313.70/24,471.48 = 4,626/x
  3. Step 3: Cross multiply
    16,313.70x = 24,471.48 × 4,626
  4. Step 4: Simplify right side
    16,313.70x = 113,205,066.48
  5. Step 5: Solve for x
    x = 113,205,066.48/16,313.70
  6. Step 6: Final answer
    x = 6,939.26

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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.