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Finding the Fourth Proportional to 17,203.32, 23,739.22 and 9,648.64

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Solution

The fourth proportional to 17,203.32, 23,739.22 and 9,648.64 is: 13,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,203.32 : 23,739.22 = 9,648.64 : x
  2. Step 2: Convert to fraction form
    17,203.32/23,739.22 = 9,648.64/x
  3. Step 3: Cross multiply
    17,203.32x = 23,739.22 × 9,648.64
  4. Step 4: Simplify right side
    17,203.32x = 229,051,187.66
  5. Step 5: Solve for x
    x = 229,051,187.66/17,203.32
  6. Step 6: Final answer
    x = 13,314.36

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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.