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Finding the Fourth Proportional to 21,762.74, 32,641.87 and 6,982.26

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Solution

The fourth proportional to 21,762.74, 32,641.87 and 6,982.26 is: 10,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.74 : 32,641.87 = 6,982.26 : x
  2. Step 2: Convert to fraction form
    21,762.74/32,641.87 = 6,982.26/x
  3. Step 3: Cross multiply
    21,762.74x = 32,641.87 × 6,982.26
  4. Step 4: Simplify right side
    21,762.74x = 227,914,023.23
  5. Step 5: Solve for x
    x = 227,914,023.23/21,762.74
  6. Step 6: Final answer
    x = 10,472.67

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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.