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Finding the Fourth Proportional to 25,118.46, 37,676.97 and 6,398.43

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Solution

The fourth proportional to 25,118.46, 37,676.97 and 6,398.43 is: 9,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,118.46 : 37,676.97 = 6,398.43 : x
  2. Step 2: Convert to fraction form
    25,118.46/37,676.97 = 6,398.43/x
  3. Step 3: Cross multiply
    25,118.46x = 37,676.97 × 6,398.43
  4. Step 4: Simplify right side
    25,118.46x = 241,073,351.36
  5. Step 5: Solve for x
    x = 241,073,351.36/25,118.46
  6. Step 6: Final answer
    x = 9,597.46

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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.