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Finding the Fourth Proportional to 17,841.84, 26,741.50 and 7,311.44

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Solution

The fourth proportional to 17,841.84, 26,741.50 and 7,311.44 is: 10,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841.84 : 26,741.50 = 7,311.44 : x
  2. Step 2: Convert to fraction form
    17,841.84/26,741.50 = 7,311.44/x
  3. Step 3: Cross multiply
    17,841.84x = 26,741.50 × 7,311.44
  4. Step 4: Simplify right side
    17,841.84x = 195,518,872.76
  5. Step 5: Solve for x
    x = 195,518,872.76/17,841.84
  6. Step 6: Final answer
    x = 10,958.45

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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.