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Finding the Fourth Proportional to 12,696.06, 17,518.48 and 7,977

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Solution

The fourth proportional to 12,696.06, 17,518.48 and 7,977 is: 11,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.06 : 17,518.48 = 7,977 : x
  2. Step 2: Convert to fraction form
    12,696.06/17,518.48 = 7,977/x
  3. Step 3: Cross multiply
    12,696.06x = 17,518.48 × 7,977
  4. Step 4: Simplify right side
    12,696.06x = 139,744,914.96
  5. Step 5: Solve for x
    x = 139,744,914.96/12,696.06
  6. Step 6: Final answer
    x = 11,006.95

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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.