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Finding the Fourth Proportional to 22,534.82, 33,803 and 7,743.61

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Solution

The fourth proportional to 22,534.82, 33,803 and 7,743.61 is: 11,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.82 : 33,803 = 7,743.61 : x
  2. Step 2: Convert to fraction form
    22,534.82/33,803 = 7,743.61/x
  3. Step 3: Cross multiply
    22,534.82x = 33,803 × 7,743.61
  4. Step 4: Simplify right side
    22,534.82x = 261,757,248.83
  5. Step 5: Solve for x
    x = 261,757,248.83/22,534.82
  6. Step 6: Final answer
    x = 11,615.68

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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.