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Finding the Fourth Proportional to 17,287.20, 23,844.60 and 10,564.20

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Solution

The fourth proportional to 17,287.20, 23,844.60 and 10,564.20 is: 14,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.20 : 23,844.60 = 10,564.20 : x
  2. Step 2: Convert to fraction form
    17,287.20/23,844.60 = 10,564.20/x
  3. Step 3: Cross multiply
    17,287.20x = 23,844.60 × 10,564.20
  4. Step 4: Simplify right side
    17,287.20x = 251,899,123.32
  5. Step 5: Solve for x
    x = 251,899,123.32/17,287.20
  6. Step 6: Final answer
    x = 14,571.42

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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.