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Finding the Fourth Proportional to 21.78, 30.02 and 19.47

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Solution

The fourth proportional to 21.78, 30.02 and 19.47 is: 26.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.78 : 30.02 = 19.47 : x
  2. Step 2: Convert to fraction form
    21.78/30.02 = 19.47/x
  3. Step 3: Cross multiply
    21.78x = 30.02 × 19.47
  4. Step 4: Simplify right side
    21.78x = 584.24
  5. Step 5: Solve for x
    x = 584.24/21.78
  6. Step 6: Final answer
    x = 26.83

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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.