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Finding the Fourth Proportional to 19,887.49, 29,829.30 and 6,738.31

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Solution

The fourth proportional to 19,887.49, 29,829.30 and 6,738.31 is: 10,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.49 : 29,829.30 = 6,738.31 : x
  2. Step 2: Convert to fraction form
    19,887.49/29,829.30 = 6,738.31/x
  3. Step 3: Cross multiply
    19,887.49x = 29,829.30 × 6,738.31
  4. Step 4: Simplify right side
    19,887.49x = 200,999,070.48
  5. Step 5: Solve for x
    x = 200,999,070.48/19,887.49
  6. Step 6: Final answer
    x = 10,106.81

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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.