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Finding the Fourth Proportional to 16,957, 23,400.66 and 9,505

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Solution

The fourth proportional to 16,957, 23,400.66 and 9,505 is: 13,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,957 : 23,400.66 = 9,505 : x
  2. Step 2: Convert to fraction form
    16,957/23,400.66 = 9,505/x
  3. Step 3: Cross multiply
    16,957x = 23,400.66 × 9,505
  4. Step 4: Simplify right side
    16,957x = 222,423,273.30
  5. Step 5: Solve for x
    x = 222,423,273.30/16,957
  6. Step 6: Final answer
    x = 13,116.90

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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.