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Finding the Fourth Proportional to 16,141.41, 24,207.39 and 6,278.34

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Solution

The fourth proportional to 16,141.41, 24,207.39 and 6,278.34 is: 9,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.41 : 24,207.39 = 6,278.34 : x
  2. Step 2: Convert to fraction form
    16,141.41/24,207.39 = 6,278.34/x
  3. Step 3: Cross multiply
    16,141.41x = 24,207.39 × 6,278.34
  4. Step 4: Simplify right side
    16,141.41x = 151,982,224.93
  5. Step 5: Solve for x
    x = 151,982,224.93/16,141.41
  6. Step 6: Final answer
    x = 9,415.67

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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.