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Finding the Fourth Proportional to 24.69, 34.07 and 13.77

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Solution

The fourth proportional to 24.69, 34.07 and 13.77 is: 19.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.69 : 34.07 = 13.77 : x
  2. Step 2: Convert to fraction form
    24.69/34.07 = 13.77/x
  3. Step 3: Cross multiply
    24.69x = 34.07 × 13.77
  4. Step 4: Simplify right side
    24.69x = 468.99
  5. Step 5: Solve for x
    x = 468.99/24.69
  6. Step 6: Final answer
    x = 19.00

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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.