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Finding the Fourth Proportional to 16,397.64, 24,596.38 and 7,627.72

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Solution

The fourth proportional to 16,397.64, 24,596.38 and 7,627.72 is: 11,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.64 : 24,596.38 = 7,627.72 : x
  2. Step 2: Convert to fraction form
    16,397.64/24,596.38 = 7,627.72/x
  3. Step 3: Cross multiply
    16,397.64x = 24,596.38 × 7,627.72
  4. Step 4: Simplify right side
    16,397.64x = 187,614,299.65
  5. Step 5: Solve for x
    x = 187,614,299.65/16,397.64
  6. Step 6: Final answer
    x = 11,441.54

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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.