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Finding the Fourth Proportional to 28,096.48, 42,144.56 and 11,456.44

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Solution

The fourth proportional to 28,096.48, 42,144.56 and 11,456.44 is: 17,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,096.48 : 42,144.56 = 11,456.44 : x
  2. Step 2: Convert to fraction form
    28,096.48/42,144.56 = 11,456.44/x
  3. Step 3: Cross multiply
    28,096.48x = 42,144.56 × 11,456.44
  4. Step 4: Simplify right side
    28,096.48x = 482,826,671.05
  5. Step 5: Solve for x
    x = 482,826,671.05/28,096.48
  6. Step 6: Final answer
    x = 17,184.60

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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.