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Finding the Fourth Proportional to 22,576.32, 33,869.90 and 6,993.94

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Solution

The fourth proportional to 22,576.32, 33,869.90 and 6,993.94 is: 10,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.32 : 33,869.90 = 6,993.94 : x
  2. Step 2: Convert to fraction form
    22,576.32/33,869.90 = 6,993.94/x
  3. Step 3: Cross multiply
    22,576.32x = 33,869.90 × 6,993.94
  4. Step 4: Simplify right side
    22,576.32x = 236,884,048.41
  5. Step 5: Solve for x
    x = 236,884,048.41/22,576.32
  6. Step 6: Final answer
    x = 10,492.59

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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.