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Finding the Fourth Proportional to 22,636.90, 33,955.37 and 7,845.83

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Solution

The fourth proportional to 22,636.90, 33,955.37 and 7,845.83 is: 11,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.90 : 33,955.37 = 7,845.83 : x
  2. Step 2: Convert to fraction form
    22,636.90/33,955.37 = 7,845.83/x
  3. Step 3: Cross multiply
    22,636.90x = 33,955.37 × 7,845.83
  4. Step 4: Simplify right side
    22,636.90x = 266,408,008.36
  5. Step 5: Solve for x
    x = 266,408,008.36/22,636.90
  6. Step 6: Final answer
    x = 11,768.75

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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.