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Finding the Fourth Proportional to 25,245, 34,838.10 and 14,067

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Solution

The fourth proportional to 25,245, 34,838.10 and 14,067 is: 19,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245 : 34,838.10 = 14,067 : x
  2. Step 2: Convert to fraction form
    25,245/34,838.10 = 14,067/x
  3. Step 3: Cross multiply
    25,245x = 34,838.10 × 14,067
  4. Step 4: Simplify right side
    25,245x = 490,067,552.70
  5. Step 5: Solve for x
    x = 490,067,552.70/25,245
  6. Step 6: Final answer
    x = 19,412.46

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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.