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Finding the Fourth Proportional to 17,234.38, 23,781.76 and 9,679

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Solution

The fourth proportional to 17,234.38, 23,781.76 and 9,679 is: 13,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.38 : 23,781.76 = 9,679 : x
  2. Step 2: Convert to fraction form
    17,234.38/23,781.76 = 9,679/x
  3. Step 3: Cross multiply
    17,234.38x = 23,781.76 × 9,679
  4. Step 4: Simplify right side
    17,234.38x = 230,183,655.04
  5. Step 5: Solve for x
    x = 230,183,655.04/17,234.38
  6. Step 6: Final answer
    x = 13,356.07

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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.