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Finding the Fourth Proportional to 25,412.38, 35,082.37 and 19,734.38

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Solution

The fourth proportional to 25,412.38, 35,082.37 and 19,734.38 is: 27,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.38 : 35,082.37 = 19,734.38 : x
  2. Step 2: Convert to fraction form
    25,412.38/35,082.37 = 19,734.38/x
  3. Step 3: Cross multiply
    25,412.38x = 35,082.37 × 19,734.38
  4. Step 4: Simplify right side
    25,412.38x = 692,328,888.03
  5. Step 5: Solve for x
    x = 692,328,888.03/25,412.38
  6. Step 6: Final answer
    x = 27,243.76

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Why These Related Problems?

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