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Finding the Fourth Proportional to 14,233.11, 19,642.82 and 8,266.65

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Solution

The fourth proportional to 14,233.11, 19,642.82 and 8,266.65 is: 11,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.11 : 19,642.82 = 8,266.65 : x
  2. Step 2: Convert to fraction form
    14,233.11/19,642.82 = 8,266.65/x
  3. Step 3: Cross multiply
    14,233.11x = 19,642.82 × 8,266.65
  4. Step 4: Simplify right side
    14,233.11x = 162,380,317.95
  5. Step 5: Solve for x
    x = 162,380,317.95/14,233.11
  6. Step 6: Final answer
    x = 11,408.63

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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.