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Finding the Fourth Proportional to 24,609.27, 36,910.74 and 7,967.64

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Solution

The fourth proportional to 24,609.27, 36,910.74 and 7,967.64 is: 11,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.27 : 36,910.74 = 7,967.64 : x
  2. Step 2: Convert to fraction form
    24,609.27/36,910.74 = 7,967.64/x
  3. Step 3: Cross multiply
    24,609.27x = 36,910.74 × 7,967.64
  4. Step 4: Simplify right side
    24,609.27x = 294,091,488.45
  5. Step 5: Solve for x
    x = 294,091,488.45/24,609.27
  6. Step 6: Final answer
    x = 11,950.44

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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.