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Finding the Fourth Proportional to 12,998.08, 17,938.74 and 7,965.64

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Solution

The fourth proportional to 12,998.08, 17,938.74 and 7,965.64 is: 10,993.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.08 : 17,938.74 = 7,965.64 : x
  2. Step 2: Convert to fraction form
    12,998.08/17,938.74 = 7,965.64/x
  3. Step 3: Cross multiply
    12,998.08x = 17,938.74 × 7,965.64
  4. Step 4: Simplify right side
    12,998.08x = 142,893,544.89
  5. Step 5: Solve for x
    x = 142,893,544.89/12,998.08
  6. Step 6: Final answer
    x = 10,993.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.