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Finding the Fourth Proportional to 19,190.50, 28,773.38 and 8,094.22

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Solution

The fourth proportional to 19,190.50, 28,773.38 and 8,094.22 is: 12,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,190.50 : 28,773.38 = 8,094.22 : x
  2. Step 2: Convert to fraction form
    19,190.50/28,773.38 = 8,094.22/x
  3. Step 3: Cross multiply
    19,190.50x = 28,773.38 × 8,094.22
  4. Step 4: Simplify right side
    19,190.50x = 232,898,016.17
  5. Step 5: Solve for x
    x = 232,898,016.17/19,190.50
  6. Step 6: Final answer
    x = 12,136.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.