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Finding the Fourth Proportional to 12,146.64, 18,224.40 and 5,128.44

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Solution

The fourth proportional to 12,146.64, 18,224.40 and 5,128.44 is: 7,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.64 : 18,224.40 = 5,128.44 : x
  2. Step 2: Convert to fraction form
    12,146.64/18,224.40 = 5,128.44/x
  3. Step 3: Cross multiply
    12,146.64x = 18,224.40 × 5,128.44
  4. Step 4: Simplify right side
    12,146.64x = 93,462,741.94
  5. Step 5: Solve for x
    x = 93,462,741.94/12,146.64
  6. Step 6: Final answer
    x = 7,694.53

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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.