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Finding the Fourth Proportional to 24,472, 33,768.49 and 14,398.23

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Solution

The fourth proportional to 24,472, 33,768.49 and 14,398.23 is: 19,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472 : 33,768.49 = 14,398.23 : x
  2. Step 2: Convert to fraction form
    24,472/33,768.49 = 14,398.23/x
  3. Step 3: Cross multiply
    24,472x = 33,768.49 × 14,398.23
  4. Step 4: Simplify right side
    24,472x = 486,206,485.77
  5. Step 5: Solve for x
    x = 486,206,485.77/24,472
  6. Step 6: Final answer
    x = 19,867.87

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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.