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Finding the Fourth Proportional to 19,883.97, 29,826.50 and 10,649.97

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Solution

The fourth proportional to 19,883.97, 29,826.50 and 10,649.97 is: 15,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.97 : 29,826.50 = 10,649.97 : x
  2. Step 2: Convert to fraction form
    19,883.97/29,826.50 = 10,649.97/x
  3. Step 3: Cross multiply
    19,883.97x = 29,826.50 × 10,649.97
  4. Step 4: Simplify right side
    19,883.97x = 317,651,276.96
  5. Step 5: Solve for x
    x = 317,651,276.96/19,883.97
  6. Step 6: Final answer
    x = 15,975.24

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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.