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Finding the Fourth Proportional to 14.62, 21.83 and 13

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Solution

The fourth proportional to 14.62, 21.83 and 13 is: 19.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.62 : 21.83 = 13 : x
  2. Step 2: Convert to fraction form
    14.62/21.83 = 13/x
  3. Step 3: Cross multiply
    14.62x = 21.83 × 13
  4. Step 4: Simplify right side
    14.62x = 283.79
  5. Step 5: Solve for x
    x = 283.79/14.62
  6. Step 6: Final answer
    x = 19.41

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Why These Related Problems?

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