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Finding the Fourth Proportional to 25,825.50, 38,738.34 and 7,357.50

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Solution

The fourth proportional to 25,825.50, 38,738.34 and 7,357.50 is: 11,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.50 : 38,738.34 = 7,357.50 : x
  2. Step 2: Convert to fraction form
    25,825.50/38,738.34 = 7,357.50/x
  3. Step 3: Cross multiply
    25,825.50x = 38,738.34 × 7,357.50
  4. Step 4: Simplify right side
    25,825.50x = 285,017,336.55
  5. Step 5: Solve for x
    x = 285,017,336.55/25,825.50
  6. Step 6: Final answer
    x = 11,036.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.