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Finding the Fourth Proportional to 17,234.78, 23,784.84 and 9,680.72

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Solution

The fourth proportional to 17,234.78, 23,784.84 and 9,680.72 is: 13,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.78 : 23,784.84 = 9,680.72 : x
  2. Step 2: Convert to fraction form
    17,234.78/23,784.84 = 9,680.72/x
  3. Step 3: Cross multiply
    17,234.78x = 23,784.84 × 9,680.72
  4. Step 4: Simplify right side
    17,234.78x = 230,254,257.36
  5. Step 5: Solve for x
    x = 230,254,257.36/17,234.78
  6. Step 6: Final answer
    x = 13,359.86

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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.