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Finding the Fourth Proportional to 17,257.51, 23,815.25 and 9,805.51

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Solution

The fourth proportional to 17,257.51, 23,815.25 and 9,805.51 is: 13,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.51 : 23,815.25 = 9,805.51 : x
  2. Step 2: Convert to fraction form
    17,257.51/23,815.25 = 9,805.51/x
  3. Step 3: Cross multiply
    17,257.51x = 23,815.25 × 9,805.51
  4. Step 4: Simplify right side
    17,257.51x = 233,520,623.00
  5. Step 5: Solve for x
    x = 233,520,623.00/17,257.51
  6. Step 6: Final answer
    x = 13,531.54

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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.