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Finding the Fourth Proportional to 14,273.82, 19,697.76 and 7,986.15

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Solution

The fourth proportional to 14,273.82, 19,697.76 and 7,986.15 is: 11,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,273.82 : 19,697.76 = 7,986.15 : x
  2. Step 2: Convert to fraction form
    14,273.82/19,697.76 = 7,986.15/x
  3. Step 3: Cross multiply
    14,273.82x = 19,697.76 × 7,986.15
  4. Step 4: Simplify right side
    14,273.82x = 157,309,266.02
  5. Step 5: Solve for x
    x = 157,309,266.02/14,273.82
  6. Step 6: Final answer
    x = 11,020.82

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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.