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Finding the Fourth Proportional to 22,287, 33,411.87 and 9,148.80

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Solution

The fourth proportional to 22,287, 33,411.87 and 9,148.80 is: 13,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287 : 33,411.87 = 9,148.80 : x
  2. Step 2: Convert to fraction form
    22,287/33,411.87 = 9,148.80/x
  3. Step 3: Cross multiply
    22,287x = 33,411.87 × 9,148.80
  4. Step 4: Simplify right side
    22,287x = 305,678,516.26
  5. Step 5: Solve for x
    x = 305,678,516.26/22,287
  6. Step 6: Final answer
    x = 13,715.55

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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.