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Finding the Fourth Proportional to 23.74, 32.76 and 14.04

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Solution

The fourth proportional to 23.74, 32.76 and 14.04 is: 19.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.74 : 32.76 = 14.04 : x
  2. Step 2: Convert to fraction form
    23.74/32.76 = 14.04/x
  3. Step 3: Cross multiply
    23.74x = 32.76 × 14.04
  4. Step 4: Simplify right side
    23.74x = 459.95
  5. Step 5: Solve for x
    x = 459.95/23.74
  6. Step 6: Final answer
    x = 19.37

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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.