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Finding the Fourth Proportional to 12,146.64, 18,219.06 and 5,887.32

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Solution

The fourth proportional to 12,146.64, 18,219.06 and 5,887.32 is: 8,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.64 : 18,219.06 = 5,887.32 : x
  2. Step 2: Convert to fraction form
    12,146.64/18,219.06 = 5,887.32/x
  3. Step 3: Cross multiply
    12,146.64x = 18,219.06 × 5,887.32
  4. Step 4: Simplify right side
    12,146.64x = 107,261,436.32
  5. Step 5: Solve for x
    x = 107,261,436.32/12,146.64
  6. Step 6: Final answer
    x = 8,830.54

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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.