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Finding the Fourth Proportional to 12,114.15, 18,147.60 and 6,832.95

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Solution

The fourth proportional to 12,114.15, 18,147.60 and 6,832.95 is: 10,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.15 : 18,147.60 = 6,832.95 : x
  2. Step 2: Convert to fraction form
    12,114.15/18,147.60 = 6,832.95/x
  3. Step 3: Cross multiply
    12,114.15x = 18,147.60 × 6,832.95
  4. Step 4: Simplify right side
    12,114.15x = 124,001,643.42
  5. Step 5: Solve for x
    x = 124,001,643.42/12,114.15
  6. Step 6: Final answer
    x = 10,236.10

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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.