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Finding the Fourth Proportional to 14,519.75, 21,765.78 and 6,188.31

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Solution

The fourth proportional to 14,519.75, 21,765.78 and 6,188.31 is: 9,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.75 : 21,765.78 = 6,188.31 : x
  2. Step 2: Convert to fraction form
    14,519.75/21,765.78 = 6,188.31/x
  3. Step 3: Cross multiply
    14,519.75x = 21,765.78 × 6,188.31
  4. Step 4: Simplify right side
    14,519.75x = 134,693,394.03
  5. Step 5: Solve for x
    x = 134,693,394.03/14,519.75
  6. Step 6: Final answer
    x = 9,276.57

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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.