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Finding the Fourth Proportional to 22,636.36, 33,970.08 and 7,845.36

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Solution

The fourth proportional to 22,636.36, 33,970.08 and 7,845.36 is: 11,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.36 : 33,970.08 = 7,845.36 : x
  2. Step 2: Convert to fraction form
    22,636.36/33,970.08 = 7,845.36/x
  3. Step 3: Cross multiply
    22,636.36x = 33,970.08 × 7,845.36
  4. Step 4: Simplify right side
    22,636.36x = 266,507,408.86
  5. Step 5: Solve for x
    x = 266,507,408.86/22,636.36
  6. Step 6: Final answer
    x = 11,773.42

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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.