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Finding the Fourth Proportional to 22,996, 34,496.16 and 9,845.44

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Solution

The fourth proportional to 22,996, 34,496.16 and 9,845.44 is: 14,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 34,496.16 = 9,845.44 : x
  2. Step 2: Convert to fraction form
    22,996/34,496.16 = 9,845.44/x
  3. Step 3: Cross multiply
    22,996x = 34,496.16 × 9,845.44
  4. Step 4: Simplify right side
    22,996x = 339,629,873.51
  5. Step 5: Solve for x
    x = 339,629,873.51/22,996
  6. Step 6: Final answer
    x = 14,769.08

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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.