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Finding the Fourth Proportional to 12,381.60, 18,573.60 and 4,589.28

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Solution

The fourth proportional to 12,381.60, 18,573.60 and 4,589.28 is: 6,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.60 : 18,573.60 = 4,589.28 : x
  2. Step 2: Convert to fraction form
    12,381.60/18,573.60 = 4,589.28/x
  3. Step 3: Cross multiply
    12,381.60x = 18,573.60 × 4,589.28
  4. Step 4: Simplify right side
    12,381.60x = 85,239,451.01
  5. Step 5: Solve for x
    x = 85,239,451.01/12,381.60
  6. Step 6: Final answer
    x = 6,884.36

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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.