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Finding the Fourth Proportional to 16,945, 23,385.54 and 9,494.44

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Solution

The fourth proportional to 16,945, 23,385.54 and 9,494.44 is: 13,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,945 : 23,385.54 = 9,494.44 : x
  2. Step 2: Convert to fraction form
    16,945/23,385.54 = 9,494.44/x
  3. Step 3: Cross multiply
    16,945x = 23,385.54 × 9,494.44
  4. Step 4: Simplify right side
    16,945x = 222,032,606.40
  5. Step 5: Solve for x
    x = 222,032,606.40/16,945
  6. Step 6: Final answer
    x = 13,103.13

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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.