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Finding the Fourth Proportional to 16,742.12, 25,096.86 and 7,974.68

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Solution

The fourth proportional to 16,742.12, 25,096.86 and 7,974.68 is: 11,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.12 : 25,096.86 = 7,974.68 : x
  2. Step 2: Convert to fraction form
    16,742.12/25,096.86 = 7,974.68/x
  3. Step 3: Cross multiply
    16,742.12x = 25,096.86 × 7,974.68
  4. Step 4: Simplify right side
    16,742.12x = 200,139,427.50
  5. Step 5: Solve for x
    x = 200,139,427.50/16,742.12
  6. Step 6: Final answer
    x = 11,954.25

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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.