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Finding the Fourth Proportional to 17,203.28, 23,739.72 and 9,749.84

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Solution

The fourth proportional to 17,203.28, 23,739.72 and 9,749.84 is: 13,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,203.28 : 23,739.72 = 9,749.84 : x
  2. Step 2: Convert to fraction form
    17,203.28/23,739.72 = 9,749.84/x
  3. Step 3: Cross multiply
    17,203.28x = 23,739.72 × 9,749.84
  4. Step 4: Simplify right side
    17,203.28x = 231,458,471.64
  5. Step 5: Solve for x
    x = 231,458,471.64/17,203.28
  6. Step 6: Final answer
    x = 13,454.32

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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.