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Finding the Fourth Proportional to 19,274.22, 28,916.46 and 8,181.54

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Solution

The fourth proportional to 19,274.22, 28,916.46 and 8,181.54 is: 12,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,274.22 : 28,916.46 = 8,181.54 : x
  2. Step 2: Convert to fraction form
    19,274.22/28,916.46 = 8,181.54/x
  3. Step 3: Cross multiply
    19,274.22x = 28,916.46 × 8,181.54
  4. Step 4: Simplify right side
    19,274.22x = 236,581,174.15
  5. Step 5: Solve for x
    x = 236,581,174.15/19,274.22
  6. Step 6: Final answer
    x = 12,274.49

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