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Finding the Fourth Proportional to 24,296.34, 36,432 and 11,137.44

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Solution

The fourth proportional to 24,296.34, 36,432 and 11,137.44 is: 16,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296.34 : 36,432 = 11,137.44 : x
  2. Step 2: Convert to fraction form
    24,296.34/36,432 = 11,137.44/x
  3. Step 3: Cross multiply
    24,296.34x = 36,432 × 11,137.44
  4. Step 4: Simplify right side
    24,296.34x = 405,759,214.08
  5. Step 5: Solve for x
    x = 405,759,214.08/24,296.34
  6. Step 6: Final answer
    x = 16,700.43

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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.