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Finding the Fourth Proportional to 12,023.70, 18,023.40 and 5,454.60

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Solution

The fourth proportional to 12,023.70, 18,023.40 and 5,454.60 is: 8,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.70 : 18,023.40 = 5,454.60 : x
  2. Step 2: Convert to fraction form
    12,023.70/18,023.40 = 5,454.60/x
  3. Step 3: Cross multiply
    12,023.70x = 18,023.40 × 5,454.60
  4. Step 4: Simplify right side
    12,023.70x = 98,310,437.64
  5. Step 5: Solve for x
    x = 98,310,437.64/12,023.70
  6. Step 6: Final answer
    x = 8,176.39

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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.