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Finding the Fourth Proportional to 24,333.16, 36,496.58 and 7,694.87

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Solution

The fourth proportional to 24,333.16, 36,496.58 and 7,694.87 is: 11,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.16 : 36,496.58 = 7,694.87 : x
  2. Step 2: Convert to fraction form
    24,333.16/36,496.58 = 7,694.87/x
  3. Step 3: Cross multiply
    24,333.16x = 36,496.58 × 7,694.87
  4. Step 4: Simplify right side
    24,333.16x = 280,836,217.59
  5. Step 5: Solve for x
    x = 280,836,217.59/24,333.16
  6. Step 6: Final answer
    x = 11,541.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.