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Finding the Fourth Proportional to 21,930.45, 32,843.43 and 14,008.46

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Solution

The fourth proportional to 21,930.45, 32,843.43 and 14,008.46 is: 20,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.45 : 32,843.43 = 14,008.46 : x
  2. Step 2: Convert to fraction form
    21,930.45/32,843.43 = 14,008.46/x
  3. Step 3: Cross multiply
    21,930.45x = 32,843.43 × 14,008.46
  4. Step 4: Simplify right side
    21,930.45x = 460,085,711.20
  5. Step 5: Solve for x
    x = 460,085,711.20/21,930.45
  6. Step 6: Final answer
    x = 20,979.31

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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.