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Finding the Fourth Proportional to 20,180.10, 30,271.05 and 7,706.10

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Solution

The fourth proportional to 20,180.10, 30,271.05 and 7,706.10 is: 11,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.10 : 30,271.05 = 7,706.10 : x
  2. Step 2: Convert to fraction form
    20,180.10/30,271.05 = 7,706.10/x
  3. Step 3: Cross multiply
    20,180.10x = 30,271.05 × 7,706.10
  4. Step 4: Simplify right side
    20,180.10x = 233,271,738.41
  5. Step 5: Solve for x
    x = 233,271,738.41/20,180.10
  6. Step 6: Final answer
    x = 11,559.49

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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.