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Finding the Fourth Proportional to 11,851.44, 16,342.74 and 10,178.40

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Solution

The fourth proportional to 11,851.44, 16,342.74 and 10,178.40 is: 14,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.44 : 16,342.74 = 10,178.40 : x
  2. Step 2: Convert to fraction form
    11,851.44/16,342.74 = 10,178.40/x
  3. Step 3: Cross multiply
    11,851.44x = 16,342.74 × 10,178.40
  4. Step 4: Simplify right side
    11,851.44x = 166,342,944.82
  5. Step 5: Solve for x
    x = 166,342,944.82/11,851.44
  6. Step 6: Final answer
    x = 14,035.67

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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.