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Finding the Fourth Proportional to 17,833, 24,611.22 and 10,279.48

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Solution

The fourth proportional to 17,833, 24,611.22 and 10,279.48 is: 14,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833 : 24,611.22 = 10,279.48 : x
  2. Step 2: Convert to fraction form
    17,833/24,611.22 = 10,279.48/x
  3. Step 3: Cross multiply
    17,833x = 24,611.22 × 10,279.48
  4. Step 4: Simplify right side
    17,833x = 252,990,543.77
  5. Step 5: Solve for x
    x = 252,990,543.77/17,833
  6. Step 6: Final answer
    x = 14,186.65

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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.