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Finding the Fourth Proportional to 16,952, 23,393.92 and 9,500.16

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Solution

The fourth proportional to 16,952, 23,393.92 and 9,500.16 is: 13,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952 : 23,393.92 = 9,500.16 : x
  2. Step 2: Convert to fraction form
    16,952/23,393.92 = 9,500.16/x
  3. Step 3: Cross multiply
    16,952x = 23,393.92 × 9,500.16
  4. Step 4: Simplify right side
    16,952x = 222,245,983.03
  5. Step 5: Solve for x
    x = 222,245,983.03/16,952
  6. Step 6: Final answer
    x = 13,110.31

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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.