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Finding the Fourth Proportional to 22,530.73, 33,772.25 and 7,534.06

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Solution

The fourth proportional to 22,530.73, 33,772.25 and 7,534.06 is: 11,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.73 : 33,772.25 = 7,534.06 : x
  2. Step 2: Convert to fraction form
    22,530.73/33,772.25 = 7,534.06/x
  3. Step 3: Cross multiply
    22,530.73x = 33,772.25 × 7,534.06
  4. Step 4: Simplify right side
    22,530.73x = 254,442,292.80
  5. Step 5: Solve for x
    x = 254,442,292.80/22,530.73
  6. Step 6: Final answer
    x = 11,293.12

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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.