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Finding the Fourth Proportional to 22,576.89, 33,886.13 and 11,491.50

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Solution

The fourth proportional to 22,576.89, 33,886.13 and 11,491.50 is: 17,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.89 : 33,886.13 = 11,491.50 : x
  2. Step 2: Convert to fraction form
    22,576.89/33,886.13 = 11,491.50/x
  3. Step 3: Cross multiply
    22,576.89x = 33,886.13 × 11,491.50
  4. Step 4: Simplify right side
    22,576.89x = 389,402,405.44
  5. Step 5: Solve for x
    x = 389,402,405.44/22,576.89
  6. Step 6: Final answer
    x = 17,247.83

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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.