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Finding the Fourth Proportional to 19,885.14, 29,833.83 and 10,021.10

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Solution

The fourth proportional to 19,885.14, 29,833.83 and 10,021.10 is: 15,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.14 : 29,833.83 = 10,021.10 : x
  2. Step 2: Convert to fraction form
    19,885.14/29,833.83 = 10,021.10/x
  3. Step 3: Cross multiply
    19,885.14x = 29,833.83 × 10,021.10
  4. Step 4: Simplify right side
    19,885.14x = 298,967,644.64
  5. Step 5: Solve for x
    x = 298,967,644.64/19,885.14
  6. Step 6: Final answer
    x = 15,034.73

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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.