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Finding the Fourth Proportional to 21,830.44, 32,760 and 11,976.64

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Solution

The fourth proportional to 21,830.44, 32,760 and 11,976.64 is: 17,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.44 : 32,760 = 11,976.64 : x
  2. Step 2: Convert to fraction form
    21,830.44/32,760 = 11,976.64/x
  3. Step 3: Cross multiply
    21,830.44x = 32,760 × 11,976.64
  4. Step 4: Simplify right side
    21,830.44x = 392,354,726.40
  5. Step 5: Solve for x
    x = 392,354,726.40/21,830.44
  6. Step 6: Final answer
    x = 17,972.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.