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Finding the Fourth Proportional to 16,630, 22,949.40 and 9,178

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Solution

The fourth proportional to 16,630, 22,949.40 and 9,178 is: 12,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,630 : 22,949.40 = 9,178 : x
  2. Step 2: Convert to fraction form
    16,630/22,949.40 = 9,178/x
  3. Step 3: Cross multiply
    16,630x = 22,949.40 × 9,178
  4. Step 4: Simplify right side
    16,630x = 210,629,593.20
  5. Step 5: Solve for x
    x = 210,629,593.20/16,630
  6. Step 6: Final answer
    x = 12,665.64

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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.