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Finding the Fourth Proportional to 12,014.16, 18,015.84 and 5,445.60

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Solution

The fourth proportional to 12,014.16, 18,015.84 and 5,445.60 is: 8,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.16 : 18,015.84 = 5,445.60 : x
  2. Step 2: Convert to fraction form
    12,014.16/18,015.84 = 5,445.60/x
  3. Step 3: Cross multiply
    12,014.16x = 18,015.84 × 5,445.60
  4. Step 4: Simplify right side
    12,014.16x = 98,107,058.30
  5. Step 5: Solve for x
    x = 98,107,058.30/12,014.16
  6. Step 6: Final answer
    x = 8,165.95

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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.