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Finding the Fourth Proportional to 17,732.48, 26,576.10 and 9,416.48

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Solution

The fourth proportional to 17,732.48, 26,576.10 and 9,416.48 is: 14,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.48 : 26,576.10 = 9,416.48 : x
  2. Step 2: Convert to fraction form
    17,732.48/26,576.10 = 9,416.48/x
  3. Step 3: Cross multiply
    17,732.48x = 26,576.10 × 9,416.48
  4. Step 4: Simplify right side
    17,732.48x = 250,253,181.25
  5. Step 5: Solve for x
    x = 250,253,181.25/17,732.48
  6. Step 6: Final answer
    x = 14,112.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.