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Finding the Fourth Proportional to 16,769.16, 23,137.38 and 9,317.16

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Solution

The fourth proportional to 16,769.16, 23,137.38 and 9,317.16 is: 12,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.16 : 23,137.38 = 9,317.16 : x
  2. Step 2: Convert to fraction form
    16,769.16/23,137.38 = 9,317.16/x
  3. Step 3: Cross multiply
    16,769.16x = 23,137.38 × 9,317.16
  4. Step 4: Simplify right side
    16,769.16x = 215,574,671.44
  5. Step 5: Solve for x
    x = 215,574,671.44/16,769.16
  6. Step 6: Final answer
    x = 12,855.42

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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.