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Finding the Fourth Proportional to 16,434.56, 24,640.30 and 5,758.31

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Solution

The fourth proportional to 16,434.56, 24,640.30 and 5,758.31 is: 8,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.56 : 24,640.30 = 5,758.31 : x
  2. Step 2: Convert to fraction form
    16,434.56/24,640.30 = 5,758.31/x
  3. Step 3: Cross multiply
    16,434.56x = 24,640.30 × 5,758.31
  4. Step 4: Simplify right side
    16,434.56x = 141,886,333.90
  5. Step 5: Solve for x
    x = 141,886,333.90/16,434.56
  6. Step 6: Final answer
    x = 8,633.41

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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.