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Finding the Fourth Proportional to 14,211.54, 19,611.62 and 8,243.77

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Solution

The fourth proportional to 14,211.54, 19,611.62 and 8,243.77 is: 11,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.54 : 19,611.62 = 8,243.77 : x
  2. Step 2: Convert to fraction form
    14,211.54/19,611.62 = 8,243.77/x
  3. Step 3: Cross multiply
    14,211.54x = 19,611.62 × 8,243.77
  4. Step 4: Simplify right side
    14,211.54x = 161,673,545.33
  5. Step 5: Solve for x
    x = 161,673,545.33/14,211.54
  6. Step 6: Final answer
    x = 11,376.22

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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.