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Finding the Fourth Proportional to 16,933.38, 23,368 and 9,763.24

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Solution

The fourth proportional to 16,933.38, 23,368 and 9,763.24 is: 13,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,933.38 : 23,368 = 9,763.24 : x
  2. Step 2: Convert to fraction form
    16,933.38/23,368 = 9,763.24/x
  3. Step 3: Cross multiply
    16,933.38x = 23,368 × 9,763.24
  4. Step 4: Simplify right side
    16,933.38x = 228,147,392.32
  5. Step 5: Solve for x
    x = 228,147,392.32/16,933.38
  6. Step 6: Final answer
    x = 13,473.23

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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.