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Finding the Fourth Proportional to 24,472.26, 33,771.02 and 14,398.40

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Solution

The fourth proportional to 24,472.26, 33,771.02 and 14,398.40 is: 19,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.26 : 33,771.02 = 14,398.40 : x
  2. Step 2: Convert to fraction form
    24,472.26/33,771.02 = 14,398.40/x
  3. Step 3: Cross multiply
    24,472.26x = 33,771.02 × 14,398.40
  4. Step 4: Simplify right side
    24,472.26x = 486,248,654.37
  5. Step 5: Solve for x
    x = 486,248,654.37/24,472.26
  6. Step 6: Final answer
    x = 19,869.38

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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.