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Finding the Fourth Proportional to 16,961.20, 23,406.43 and 9,509.20

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Solution

The fourth proportional to 16,961.20, 23,406.43 and 9,509.20 is: 13,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.20 : 23,406.43 = 9,509.20 : x
  2. Step 2: Convert to fraction form
    16,961.20/23,406.43 = 9,509.20/x
  3. Step 3: Cross multiply
    16,961.20x = 23,406.43 × 9,509.20
  4. Step 4: Simplify right side
    16,961.20x = 222,576,424.16
  5. Step 5: Solve for x
    x = 222,576,424.16/16,961.20
  6. Step 6: Final answer
    x = 13,122.68

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1.5x scale

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.