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Finding the Fourth Proportional to 12,115.64, 18,169.94 and 4,718.46

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Solution

The fourth proportional to 12,115.64, 18,169.94 and 4,718.46 is: 7,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.64 : 18,169.94 = 4,718.46 : x
  2. Step 2: Convert to fraction form
    12,115.64/18,169.94 = 4,718.46/x
  3. Step 3: Cross multiply
    12,115.64x = 18,169.94 × 4,718.46
  4. Step 4: Simplify right side
    12,115.64x = 85,734,135.09
  5. Step 5: Solve for x
    x = 85,734,135.09/12,115.64
  6. Step 6: Final answer
    x = 7,076.32

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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.