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Finding the Fourth Proportional to 25,780, 35,593.56 and 19,801

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Solution

The fourth proportional to 25,780, 35,593.56 and 19,801 is: 27,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780 : 35,593.56 = 19,801 : x
  2. Step 2: Convert to fraction form
    25,780/35,593.56 = 19,801/x
  3. Step 3: Cross multiply
    25,780x = 35,593.56 × 19,801
  4. Step 4: Simplify right side
    25,780x = 704,788,081.56
  5. Step 5: Solve for x
    x = 704,788,081.56/25,780
  6. Step 6: Final answer
    x = 27,338.56

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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.