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Finding the Fourth Proportional to 17,576.41, 24,255.43 and 9,618.63

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Solution

The fourth proportional to 17,576.41, 24,255.43 and 9,618.63 is: 13,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.41 : 24,255.43 = 9,618.63 : x
  2. Step 2: Convert to fraction form
    17,576.41/24,255.43 = 9,618.63/x
  3. Step 3: Cross multiply
    17,576.41x = 24,255.43 × 9,618.63
  4. Step 4: Simplify right side
    17,576.41x = 233,304,006.66
  5. Step 5: Solve for x
    x = 233,304,006.66/17,576.41
  6. Step 6: Final answer
    x = 13,273.70

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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.