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Finding the Fourth Proportional to 36,596, 54,899.20 and 11,297.64

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Solution

The fourth proportional to 36,596, 54,899.20 and 11,297.64 is: 16,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,596 : 54,899.20 = 11,297.64 : x
  2. Step 2: Convert to fraction form
    36,596/54,899.20 = 11,297.64/x
  3. Step 3: Cross multiply
    36,596x = 54,899.20 × 11,297.64
  4. Step 4: Simplify right side
    36,596x = 620,231,397.89
  5. Step 5: Solve for x
    x = 620,231,397.89/36,596
  6. Step 6: Final answer
    x = 16,948.07

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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.