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Finding the Fourth Proportional to 14.63, 21.86 and 10.09

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Solution

The fourth proportional to 14.63, 21.86 and 10.09 is: 15.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.63 : 21.86 = 10.09 : x
  2. Step 2: Convert to fraction form
    14.63/21.86 = 10.09/x
  3. Step 3: Cross multiply
    14.63x = 21.86 × 10.09
  4. Step 4: Simplify right side
    14.63x = 220.56
  5. Step 5: Solve for x
    x = 220.56/14.63
  6. Step 6: Final answer
    x = 15.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.