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Finding the Fourth Proportional to 17,235.75, 23,782.75 and 9,680.64

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Solution

The fourth proportional to 17,235.75, 23,782.75 and 9,680.64 is: 13,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.75 : 23,782.75 = 9,680.64 : x
  2. Step 2: Convert to fraction form
    17,235.75/23,782.75 = 9,680.64/x
  3. Step 3: Cross multiply
    17,235.75x = 23,782.75 × 9,680.64
  4. Step 4: Simplify right side
    17,235.75x = 230,232,097.84
  5. Step 5: Solve for x
    x = 230,232,097.84/17,235.75
  6. Step 6: Final answer
    x = 13,357.82

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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.