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Finding the Fourth Proportional to 16,948.42, 23,388.82 and 9,496.42

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Solution

The fourth proportional to 16,948.42, 23,388.82 and 9,496.42 is: 13,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948.42 : 23,388.82 = 9,496.42 : x
  2. Step 2: Convert to fraction form
    16,948.42/23,388.82 = 9,496.42/x
  3. Step 3: Cross multiply
    16,948.42x = 23,388.82 × 9,496.42
  4. Step 4: Simplify right side
    16,948.42x = 222,109,975.81
  5. Step 5: Solve for x
    x = 222,109,975.81/16,948.42
  6. Step 6: Final answer
    x = 13,105.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.