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Finding the Fourth Proportional to 19,825.07, 27,358.97 and 10,872

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Solution

The fourth proportional to 19,825.07, 27,358.97 and 10,872 is: 15,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.07 : 27,358.97 = 10,872 : x
  2. Step 2: Convert to fraction form
    19,825.07/27,358.97 = 10,872/x
  3. Step 3: Cross multiply
    19,825.07x = 27,358.97 × 10,872
  4. Step 4: Simplify right side
    19,825.07x = 297,446,667.48
  5. Step 5: Solve for x
    x = 297,446,667.48/19,825.07
  6. Step 6: Final answer
    x = 15,003.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.