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Finding the Fourth Proportional to 24,638.85, 34,000.02 and 14,028.39

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Solution

The fourth proportional to 24,638.85, 34,000.02 and 14,028.39 is: 19,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.85 : 34,000.02 = 14,028.39 : x
  2. Step 2: Convert to fraction form
    24,638.85/34,000.02 = 14,028.39/x
  3. Step 3: Cross multiply
    24,638.85x = 34,000.02 × 14,028.39
  4. Step 4: Simplify right side
    24,638.85x = 476,965,540.57
  5. Step 5: Solve for x
    x = 476,965,540.57/24,638.85
  6. Step 6: Final answer
    x = 19,358.27

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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.