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Finding the Fourth Proportional to 25,378.50, 38,069.55 and 7,846.05

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Solution

The fourth proportional to 25,378.50, 38,069.55 and 7,846.05 is: 11,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.50 : 38,069.55 = 7,846.05 : x
  2. Step 2: Convert to fraction form
    25,378.50/38,069.55 = 7,846.05/x
  3. Step 3: Cross multiply
    25,378.50x = 38,069.55 × 7,846.05
  4. Step 4: Simplify right side
    25,378.50x = 298,695,592.78
  5. Step 5: Solve for x
    x = 298,695,592.78/25,378.50
  6. Step 6: Final answer
    x = 11,769.63

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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.