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Finding the Fourth Proportional to 16,964.68, 23,410.38 and 9,410.38

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Solution

The fourth proportional to 16,964.68, 23,410.38 and 9,410.38 is: 12,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.68 : 23,410.38 = 9,410.38 : x
  2. Step 2: Convert to fraction form
    16,964.68/23,410.38 = 9,410.38/x
  3. Step 3: Cross multiply
    16,964.68x = 23,410.38 × 9,410.38
  4. Step 4: Simplify right side
    16,964.68x = 220,300,571.74
  5. Step 5: Solve for x
    x = 220,300,571.74/16,964.68
  6. Step 6: Final answer
    x = 12,985.84

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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.