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Finding the Fourth Proportional to 22,257, 33,343.79 and 11,150.69

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Solution

The fourth proportional to 22,257, 33,343.79 and 11,150.69 is: 16,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257 : 33,343.79 = 11,150.69 : x
  2. Step 2: Convert to fraction form
    22,257/33,343.79 = 11,150.69/x
  3. Step 3: Cross multiply
    22,257x = 33,343.79 × 11,150.69
  4. Step 4: Simplify right side
    22,257x = 371,806,043.24
  5. Step 5: Solve for x
    x = 371,806,043.24/22,257
  6. Step 6: Final answer
    x = 16,705.13

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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.