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Finding the Fourth Proportional to 16,936.86, 23,370.65 and 9,767.04

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Solution

The fourth proportional to 16,936.86, 23,370.65 and 9,767.04 is: 13,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,936.86 : 23,370.65 = 9,767.04 : x
  2. Step 2: Convert to fraction form
    16,936.86/23,370.65 = 9,767.04/x
  3. Step 3: Cross multiply
    16,936.86x = 23,370.65 × 9,767.04
  4. Step 4: Simplify right side
    16,936.86x = 228,262,073.38
  5. Step 5: Solve for x
    x = 228,262,073.38/16,936.86
  6. Step 6: Final answer
    x = 13,477.24

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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.