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Finding the Fourth Proportional to 12,696.85, 17,530.31 and 7,918.66

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Solution

The fourth proportional to 12,696.85, 17,530.31 and 7,918.66 is: 10,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.85 : 17,530.31 = 7,918.66 : x
  2. Step 2: Convert to fraction form
    12,696.85/17,530.31 = 7,918.66/x
  3. Step 3: Cross multiply
    12,696.85x = 17,530.31 × 7,918.66
  4. Step 4: Simplify right side
    12,696.85x = 138,816,437.34
  5. Step 5: Solve for x
    x = 138,816,437.34/12,696.85
  6. Step 6: Final answer
    x = 10,933.14

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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.