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Finding the Fourth Proportional to 12,981.22, 17,914.10 and 7,012.90

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Solution

The fourth proportional to 12,981.22, 17,914.10 and 7,012.90 is: 9,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.22 : 17,914.10 = 7,012.90 : x
  2. Step 2: Convert to fraction form
    12,981.22/17,914.10 = 7,012.90/x
  3. Step 3: Cross multiply
    12,981.22x = 17,914.10 × 7,012.90
  4. Step 4: Simplify right side
    12,981.22x = 125,629,791.89
  5. Step 5: Solve for x
    x = 125,629,791.89/12,981.22
  6. Step 6: Final answer
    x = 9,677.81

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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.