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Finding the Fourth Proportional to 23,818.50, 35,724.21 and 6,289.56

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Solution

The fourth proportional to 23,818.50, 35,724.21 and 6,289.56 is: 9,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.50 : 35,724.21 = 6,289.56 : x
  2. Step 2: Convert to fraction form
    23,818.50/35,724.21 = 6,289.56/x
  3. Step 3: Cross multiply
    23,818.50x = 35,724.21 × 6,289.56
  4. Step 4: Simplify right side
    23,818.50x = 224,689,562.25
  5. Step 5: Solve for x
    x = 224,689,562.25/23,818.50
  6. Step 6: Final answer
    x = 9,433.41

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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.