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Finding the Fourth Proportional to 22,087.71, 33,124.50 and 7,293.87

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Solution

The fourth proportional to 22,087.71, 33,124.50 and 7,293.87 is: 10,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,087.71 : 33,124.50 = 7,293.87 : x
  2. Step 2: Convert to fraction form
    22,087.71/33,124.50 = 7,293.87/x
  3. Step 3: Cross multiply
    22,087.71x = 33,124.50 × 7,293.87
  4. Step 4: Simplify right side
    22,087.71x = 241,605,796.82
  5. Step 5: Solve for x
    x = 241,605,796.82/22,087.71
  6. Step 6: Final answer
    x = 10,938.47

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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.