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Finding the Fourth Proportional to 21,978.90, 32,956.20 and 7,180.20

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Solution

The fourth proportional to 21,978.90, 32,956.20 and 7,180.20 is: 10,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.90 : 32,956.20 = 7,180.20 : x
  2. Step 2: Convert to fraction form
    21,978.90/32,956.20 = 7,180.20/x
  3. Step 3: Cross multiply
    21,978.90x = 32,956.20 × 7,180.20
  4. Step 4: Simplify right side
    21,978.90x = 236,632,107.24
  5. Step 5: Solve for x
    x = 236,632,107.24/21,978.90
  6. Step 6: Final answer
    x = 10,766.33

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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.