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Finding the Fourth Proportional to 19,097.36, 28,644.60 and 5,246

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Solution

The fourth proportional to 19,097.36, 28,644.60 and 5,246 is: 7,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.36 : 28,644.60 = 5,246 : x
  2. Step 2: Convert to fraction form
    19,097.36/28,644.60 = 5,246/x
  3. Step 3: Cross multiply
    19,097.36x = 28,644.60 × 5,246
  4. Step 4: Simplify right side
    19,097.36x = 150,269,571.60
  5. Step 5: Solve for x
    x = 150,269,571.60/19,097.36
  6. Step 6: Final answer
    x = 7,868.60

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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.