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Finding the Fourth Proportional to 21,865.30, 30,178.60 and 13,906

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Solution

The fourth proportional to 21,865.30, 30,178.60 and 13,906 is: 19,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.30 : 30,178.60 = 13,906 : x
  2. Step 2: Convert to fraction form
    21,865.30/30,178.60 = 13,906/x
  3. Step 3: Cross multiply
    21,865.30x = 30,178.60 × 13,906
  4. Step 4: Simplify right side
    21,865.30x = 419,663,611.60
  5. Step 5: Solve for x
    x = 419,663,611.60/21,865.30
  6. Step 6: Final answer
    x = 19,193.13

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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.