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Finding the Fourth Proportional to 12,381.60, 18,572.44 and 3,147.60

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Solution

The fourth proportional to 12,381.60, 18,572.44 and 3,147.60 is: 4,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.60 : 18,572.44 = 3,147.60 : x
  2. Step 2: Convert to fraction form
    12,381.60/18,572.44 = 3,147.60/x
  3. Step 3: Cross multiply
    12,381.60x = 18,572.44 × 3,147.60
  4. Step 4: Simplify right side
    12,381.60x = 58,458,612.14
  5. Step 5: Solve for x
    x = 58,458,612.14/12,381.60
  6. Step 6: Final answer
    x = 4,721.41

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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.