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Finding the Fourth Proportional to 14,198.76, 19,591 and 8,531.60

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Solution

The fourth proportional to 14,198.76, 19,591 and 8,531.60 is: 11,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.76 : 19,591 = 8,531.60 : x
  2. Step 2: Convert to fraction form
    14,198.76/19,591 = 8,531.60/x
  3. Step 3: Cross multiply
    14,198.76x = 19,591 × 8,531.60
  4. Step 4: Simplify right side
    14,198.76x = 167,142,575.60
  5. Step 5: Solve for x
    x = 167,142,575.60/14,198.76
  6. Step 6: Final answer
    x = 11,771.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.