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Finding the Fourth Proportional to 24,311.22, 36,466.83 and 7,672.55

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Solution

The fourth proportional to 24,311.22, 36,466.83 and 7,672.55 is: 11,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.22 : 36,466.83 = 7,672.55 : x
  2. Step 2: Convert to fraction form
    24,311.22/36,466.83 = 7,672.55/x
  3. Step 3: Cross multiply
    24,311.22x = 36,466.83 × 7,672.55
  4. Step 4: Simplify right side
    24,311.22x = 279,793,394.18
  5. Step 5: Solve for x
    x = 279,793,394.18/24,311.22
  6. Step 6: Final answer
    x = 11,508.82

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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.