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Finding the Fourth Proportional to 24.42, 36.62 and 13

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Solution

The fourth proportional to 24.42, 36.62 and 13 is: 19.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.42 : 36.62 = 13 : x
  2. Step 2: Convert to fraction form
    24.42/36.62 = 13/x
  3. Step 3: Cross multiply
    24.42x = 36.62 × 13
  4. Step 4: Simplify right side
    24.42x = 476.06
  5. Step 5: Solve for x
    x = 476.06/24.42
  6. Step 6: Final answer
    x = 19.49

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Why These Related Problems?

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