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Finding the Fourth Proportional to 16,523.46, 24,785.46 and 5,431.32

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Solution

The fourth proportional to 16,523.46, 24,785.46 and 5,431.32 is: 8,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.46 : 24,785.46 = 5,431.32 : x
  2. Step 2: Convert to fraction form
    16,523.46/24,785.46 = 5,431.32/x
  3. Step 3: Cross multiply
    16,523.46x = 24,785.46 × 5,431.32
  4. Step 4: Simplify right side
    16,523.46x = 134,617,764.61
  5. Step 5: Solve for x
    x = 134,617,764.61/16,523.46
  6. Step 6: Final answer
    x = 8,147.07

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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.