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Finding the Fourth Proportional to 20,762.35, 31,148.49 and 6,722.39

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Solution

The fourth proportional to 20,762.35, 31,148.49 and 6,722.39 is: 10,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.35 : 31,148.49 = 6,722.39 : x
  2. Step 2: Convert to fraction form
    20,762.35/31,148.49 = 6,722.39/x
  3. Step 3: Cross multiply
    20,762.35x = 31,148.49 × 6,722.39
  4. Step 4: Simplify right side
    20,762.35x = 209,392,353.50
  5. Step 5: Solve for x
    x = 209,392,353.50/20,762.35
  6. Step 6: Final answer
    x = 10,085.20

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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.