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Finding the Fourth Proportional to 25,754.44, 38,625.41 and 7,034.56

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Solution

The fourth proportional to 25,754.44, 38,625.41 and 7,034.56 is: 10,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.44 : 38,625.41 = 7,034.56 : x
  2. Step 2: Convert to fraction form
    25,754.44/38,625.41 = 7,034.56/x
  3. Step 3: Cross multiply
    25,754.44x = 38,625.41 × 7,034.56
  4. Step 4: Simplify right side
    25,754.44x = 271,712,707.09
  5. Step 5: Solve for x
    x = 271,712,707.09/25,754.44
  6. Step 6: Final answer
    x = 10,550.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.