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Finding the Fourth Proportional to 22,345.44, 33,509.16 and 9,696

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Solution

The fourth proportional to 22,345.44, 33,509.16 and 9,696 is: 14,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.44 : 33,509.16 = 9,696 : x
  2. Step 2: Convert to fraction form
    22,345.44/33,509.16 = 9,696/x
  3. Step 3: Cross multiply
    22,345.44x = 33,509.16 × 9,696
  4. Step 4: Simplify right side
    22,345.44x = 324,904,815.36
  5. Step 5: Solve for x
    x = 324,904,815.36/22,345.44
  6. Step 6: Final answer
    x = 14,540.09

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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.