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Finding the Fourth Proportional to 24,138.70, 36,212.88 and 8,344.30

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Solution

The fourth proportional to 24,138.70, 36,212.88 and 8,344.30 is: 12,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138.70 : 36,212.88 = 8,344.30 : x
  2. Step 2: Convert to fraction form
    24,138.70/36,212.88 = 8,344.30/x
  3. Step 3: Cross multiply
    24,138.70x = 36,212.88 × 8,344.30
  4. Step 4: Simplify right side
    24,138.70x = 302,171,134.58
  5. Step 5: Solve for x
    x = 302,171,134.58/24,138.70
  6. Step 6: Final answer
    x = 12,518.12

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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.