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Finding the Fourth Proportional to 19,311.26, 28,961.66 and 6,829.63

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Solution

The fourth proportional to 19,311.26, 28,961.66 and 6,829.63 is: 10,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311.26 : 28,961.66 = 6,829.63 : x
  2. Step 2: Convert to fraction form
    19,311.26/28,961.66 = 6,829.63/x
  3. Step 3: Cross multiply
    19,311.26x = 28,961.66 × 6,829.63
  4. Step 4: Simplify right side
    19,311.26x = 197,797,387.84
  5. Step 5: Solve for x
    x = 197,797,387.84/19,311.26
  6. Step 6: Final answer
    x = 10,242.59

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