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Finding the Fourth Proportional to 19.63, 29.39 and 14.56

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Solution

The fourth proportional to 19.63, 29.39 and 14.56 is: 21.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.63 : 29.39 = 14.56 : x
  2. Step 2: Convert to fraction form
    19.63/29.39 = 14.56/x
  3. Step 3: Cross multiply
    19.63x = 29.39 × 14.56
  4. Step 4: Simplify right side
    19.63x = 427.92
  5. Step 5: Solve for x
    x = 427.92/19.63
  6. Step 6: Final answer
    x = 21.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.