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Finding the Fourth Proportional to 14,131.82, 19,502.85 and 8,163.74

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Solution

The fourth proportional to 14,131.82, 19,502.85 and 8,163.74 is: 11,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.82 : 19,502.85 = 8,163.74 : x
  2. Step 2: Convert to fraction form
    14,131.82/19,502.85 = 8,163.74/x
  3. Step 3: Cross multiply
    14,131.82x = 19,502.85 × 8,163.74
  4. Step 4: Simplify right side
    14,131.82x = 159,216,196.66
  5. Step 5: Solve for x
    x = 159,216,196.66/14,131.82
  6. Step 6: Final answer
    x = 11,266.50

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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.