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Finding the Fourth Proportional to 12,042.60, 18,063.90 and 6,858.60

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Solution

The fourth proportional to 12,042.60, 18,063.90 and 6,858.60 is: 10,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.60 : 18,063.90 = 6,858.60 : x
  2. Step 2: Convert to fraction form
    12,042.60/18,063.90 = 6,858.60/x
  3. Step 3: Cross multiply
    12,042.60x = 18,063.90 × 6,858.60
  4. Step 4: Simplify right side
    12,042.60x = 123,893,064.54
  5. Step 5: Solve for x
    x = 123,893,064.54/12,042.60
  6. Step 6: Final answer
    x = 10,287.90

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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.