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Finding the Fourth Proportional to 22,128.32, 33,196.64 and 9,648.32

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Solution

The fourth proportional to 22,128.32, 33,196.64 and 9,648.32 is: 14,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,128.32 : 33,196.64 = 9,648.32 : x
  2. Step 2: Convert to fraction form
    22,128.32/33,196.64 = 9,648.32/x
  3. Step 3: Cross multiply
    22,128.32x = 33,196.64 × 9,648.32
  4. Step 4: Simplify right side
    22,128.32x = 320,291,805.64
  5. Step 5: Solve for x
    x = 320,291,805.64/22,128.32
  6. Step 6: Final answer
    x = 14,474.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.