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Finding the Fourth Proportional to 14,211.08, 19,611.42 and 8,546

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Solution

The fourth proportional to 14,211.08, 19,611.42 and 8,546 is: 11,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.08 : 19,611.42 = 8,546 : x
  2. Step 2: Convert to fraction form
    14,211.08/19,611.42 = 8,546/x
  3. Step 3: Cross multiply
    14,211.08x = 19,611.42 × 8,546
  4. Step 4: Simplify right side
    14,211.08x = 167,599,195.32
  5. Step 5: Solve for x
    x = 167,599,195.32/14,211.08
  6. Step 6: Final answer
    x = 11,793.56

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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.