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Finding the Fourth Proportional to 20,735.40, 31,099.80 and 6,884.40

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Solution

The fourth proportional to 20,735.40, 31,099.80 and 6,884.40 is: 10,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.40 : 31,099.80 = 6,884.40 : x
  2. Step 2: Convert to fraction form
    20,735.40/31,099.80 = 6,884.40/x
  3. Step 3: Cross multiply
    20,735.40x = 31,099.80 × 6,884.40
  4. Step 4: Simplify right side
    20,735.40x = 214,103,463.12
  5. Step 5: Solve for x
    x = 214,103,463.12/20,735.40
  6. Step 6: Final answer
    x = 10,325.50

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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.