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Finding the Fourth Proportional to 12,998.86, 17,930.73 and 7,965.34

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Solution

The fourth proportional to 12,998.86, 17,930.73 and 7,965.34 is: 10,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.86 : 17,930.73 = 7,965.34 : x
  2. Step 2: Convert to fraction form
    12,998.86/17,930.73 = 7,965.34/x
  3. Step 3: Cross multiply
    12,998.86x = 17,930.73 × 7,965.34
  4. Step 4: Simplify right side
    12,998.86x = 142,824,360.90
  5. Step 5: Solve for x
    x = 142,824,360.90/12,998.86
  6. Step 6: Final answer
    x = 10,987.45

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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.