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Finding the Fourth Proportional to 17,576.24, 24,255 and 9,618.36

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Solution

The fourth proportional to 17,576.24, 24,255 and 9,618.36 is: 13,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.24 : 24,255 = 9,618.36 : x
  2. Step 2: Convert to fraction form
    17,576.24/24,255 = 9,618.36/x
  3. Step 3: Cross multiply
    17,576.24x = 24,255 × 9,618.36
  4. Step 4: Simplify right side
    17,576.24x = 233,293,321.80
  5. Step 5: Solve for x
    x = 233,293,321.80/17,576.24
  6. Step 6: Final answer
    x = 13,273.22

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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.