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Finding the Fourth Proportional to 17,279.76, 23,845.92 and 9,827.76

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Solution

The fourth proportional to 17,279.76, 23,845.92 and 9,827.76 is: 13,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,279.76 : 23,845.92 = 9,827.76 : x
  2. Step 2: Convert to fraction form
    17,279.76/23,845.92 = 9,827.76/x
  3. Step 3: Cross multiply
    17,279.76x = 23,845.92 × 9,827.76
  4. Step 4: Simplify right side
    17,279.76x = 234,351,978.74
  5. Step 5: Solve for x
    x = 234,351,978.74/17,279.76
  6. Step 6: Final answer
    x = 13,562.22

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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.