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Finding the Fourth Proportional to 16,650, 22,978.46 and 9,199.44

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Solution

The fourth proportional to 16,650, 22,978.46 and 9,199.44 is: 12,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,650 : 22,978.46 = 9,199.44 : x
  2. Step 2: Convert to fraction form
    16,650/22,978.46 = 9,199.44/x
  3. Step 3: Cross multiply
    16,650x = 22,978.46 × 9,199.44
  4. Step 4: Simplify right side
    16,650x = 211,388,964.06
  5. Step 5: Solve for x
    x = 211,388,964.06/16,650
  6. Step 6: Final answer
    x = 12,696.03

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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.