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Finding the Fourth Proportional to 19,884.88, 29,825.40 and 10,020.24

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Solution

The fourth proportional to 19,884.88, 29,825.40 and 10,020.24 is: 15,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.88 : 29,825.40 = 10,020.24 : x
  2. Step 2: Convert to fraction form
    19,884.88/29,825.40 = 10,020.24/x
  3. Step 3: Cross multiply
    19,884.88x = 29,825.40 × 10,020.24
  4. Step 4: Simplify right side
    19,884.88x = 298,857,666.10
  5. Step 5: Solve for x
    x = 298,857,666.10/19,884.88
  6. Step 6: Final answer
    x = 15,029.39

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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.