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Finding the Fourth Proportional to 24,142.46, 36,213.72 and 6,612.44

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Solution

The fourth proportional to 24,142.46, 36,213.72 and 6,612.44 is: 9,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.46 : 36,213.72 = 6,612.44 : x
  2. Step 2: Convert to fraction form
    24,142.46/36,213.72 = 6,612.44/x
  3. Step 3: Cross multiply
    24,142.46x = 36,213.72 × 6,612.44
  4. Step 4: Simplify right side
    24,142.46x = 239,461,050.68
  5. Step 5: Solve for x
    x = 239,461,050.68/24,142.46
  6. Step 6: Final answer
    x = 9,918.67

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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.