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Finding the Fourth Proportional to 23.63, 32.61 and 13.80

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Solution

The fourth proportional to 23.63, 32.61 and 13.80 is: 19.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.63 : 32.61 = 13.80 : x
  2. Step 2: Convert to fraction form
    23.63/32.61 = 13.80/x
  3. Step 3: Cross multiply
    23.63x = 32.61 × 13.80
  4. Step 4: Simplify right side
    23.63x = 449.92
  5. Step 5: Solve for x
    x = 449.92/23.63
  6. Step 6: Final answer
    x = 19.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.