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Finding the Fourth Proportional to 30,226.40, 41,696 and 19,304.16

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Solution

The fourth proportional to 30,226.40, 41,696 and 19,304.16 is: 26,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.40 : 41,696 = 19,304.16 : x
  2. Step 2: Convert to fraction form
    30,226.40/41,696 = 19,304.16/x
  3. Step 3: Cross multiply
    30,226.40x = 41,696 × 19,304.16
  4. Step 4: Simplify right side
    30,226.40x = 804,906,255.36
  5. Step 5: Solve for x
    x = 804,906,255.36/30,226.40
  6. Step 6: Final answer
    x = 26,629.25

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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.