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Finding the Fourth Proportional to 12,093.60, 18,141.30 and 4,301.40

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Solution

The fourth proportional to 12,093.60, 18,141.30 and 4,301.40 is: 6,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.60 : 18,141.30 = 4,301.40 : x
  2. Step 2: Convert to fraction form
    12,093.60/18,141.30 = 4,301.40/x
  3. Step 3: Cross multiply
    12,093.60x = 18,141.30 × 4,301.40
  4. Step 4: Simplify right side
    12,093.60x = 78,032,987.82
  5. Step 5: Solve for x
    x = 78,032,987.82/12,093.60
  6. Step 6: Final answer
    x = 6,452.42

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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.