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Finding the Fourth Proportional to 24,881.34, 34,338.21 and 14,274.39

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Solution

The fourth proportional to 24,881.34, 34,338.21 and 14,274.39 is: 19,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881.34 : 34,338.21 = 14,274.39 : x
  2. Step 2: Convert to fraction form
    24,881.34/34,338.21 = 14,274.39/x
  3. Step 3: Cross multiply
    24,881.34x = 34,338.21 × 14,274.39
  4. Step 4: Simplify right side
    24,881.34x = 490,157,001.44
  5. Step 5: Solve for x
    x = 490,157,001.44/24,881.34
  6. Step 6: Final answer
    x = 19,699.78

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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.