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Finding the Fourth Proportional to 22,538.79, 33,800.27 and 7,749.50

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Solution

The fourth proportional to 22,538.79, 33,800.27 and 7,749.50 is: 11,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.79 : 33,800.27 = 7,749.50 : x
  2. Step 2: Convert to fraction form
    22,538.79/33,800.27 = 7,749.50/x
  3. Step 3: Cross multiply
    22,538.79x = 33,800.27 × 7,749.50
  4. Step 4: Simplify right side
    22,538.79x = 261,934,984.62
  5. Step 5: Solve for x
    x = 261,934,984.62/22,538.79
  6. Step 6: Final answer
    x = 11,621.52

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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.