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Finding the Fourth Proportional to 21,120, 29,142.70 and 12,620.31

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Solution

The fourth proportional to 21,120, 29,142.70 and 12,620.31 is: 17,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120 : 29,142.70 = 12,620.31 : x
  2. Step 2: Convert to fraction form
    21,120/29,142.70 = 12,620.31/x
  3. Step 3: Cross multiply
    21,120x = 29,142.70 × 12,620.31
  4. Step 4: Simplify right side
    21,120x = 367,789,908.24
  5. Step 5: Solve for x
    x = 367,789,908.24/21,120
  6. Step 6: Final answer
    x = 17,414.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.