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Finding the Fourth Proportional to 14,185.11, 19,578.90 and 8,215.81

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Solution

The fourth proportional to 14,185.11, 19,578.90 and 8,215.81 is: 11,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.11 : 19,578.90 = 8,215.81 : x
  2. Step 2: Convert to fraction form
    14,185.11/19,578.90 = 8,215.81/x
  3. Step 3: Cross multiply
    14,185.11x = 19,578.90 × 8,215.81
  4. Step 4: Simplify right side
    14,185.11x = 160,856,540.55
  5. Step 5: Solve for x
    x = 160,856,540.55/14,185.11
  6. Step 6: Final answer
    x = 11,339.82

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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.