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Finding the Fourth Proportional to 20,004.70, 29,963.85 and 13,006.30

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Solution

The fourth proportional to 20,004.70, 29,963.85 and 13,006.30 is: 19,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004.70 : 29,963.85 = 13,006.30 : x
  2. Step 2: Convert to fraction form
    20,004.70/29,963.85 = 13,006.30/x
  3. Step 3: Cross multiply
    20,004.70x = 29,963.85 × 13,006.30
  4. Step 4: Simplify right side
    20,004.70x = 389,718,822.26
  5. Step 5: Solve for x
    x = 389,718,822.26/20,004.70
  6. Step 6: Final answer
    x = 19,481.36

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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.