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Finding the Fourth Proportional to 12,665.33, 17,477.01 and 7,286.34

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Solution

The fourth proportional to 12,665.33, 17,477.01 and 7,286.34 is: 10,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.33 : 17,477.01 = 7,286.34 : x
  2. Step 2: Convert to fraction form
    12,665.33/17,477.01 = 7,286.34/x
  3. Step 3: Cross multiply
    12,665.33x = 17,477.01 × 7,286.34
  4. Step 4: Simplify right side
    12,665.33x = 127,343,367.87
  5. Step 5: Solve for x
    x = 127,343,367.87/12,665.33
  6. Step 6: Final answer
    x = 10,054.49

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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.