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Finding the Fourth Proportional to 16,946.38, 23,385.94 and 9,494.38

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Solution

The fourth proportional to 16,946.38, 23,385.94 and 9,494.38 is: 13,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.38 : 23,385.94 = 9,494.38 : x
  2. Step 2: Convert to fraction form
    16,946.38/23,385.94 = 9,494.38/x
  3. Step 3: Cross multiply
    16,946.38x = 23,385.94 × 9,494.38
  4. Step 4: Simplify right side
    16,946.38x = 222,035,001.02
  5. Step 5: Solve for x
    x = 222,035,001.02/16,946.38
  6. Step 6: Final answer
    x = 13,102.21

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Why These Related Problems?

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