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Finding the Fourth Proportional to 19,884.51, 29,816.12 and 10,500.80

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Solution

The fourth proportional to 19,884.51, 29,816.12 and 10,500.80 is: 15,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.51 : 29,816.12 = 10,500.80 : x
  2. Step 2: Convert to fraction form
    19,884.51/29,816.12 = 10,500.80/x
  3. Step 3: Cross multiply
    19,884.51x = 29,816.12 × 10,500.80
  4. Step 4: Simplify right side
    19,884.51x = 313,092,911.31
  5. Step 5: Solve for x
    x = 313,092,911.31/19,884.51
  6. Step 6: Final answer
    x = 15,745.57

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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.