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Finding the Fourth Proportional to 11,853.82, 16,346.00 and 10,180.76

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Solution

The fourth proportional to 11,853.82, 16,346.00 and 10,180.76 is: 14,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.82 : 16,346.00 = 10,180.76 : x
  2. Step 2: Convert to fraction form
    11,853.82/16,346.00 = 10,180.76/x
  3. Step 3: Cross multiply
    11,853.82x = 16,346.00 × 10,180.76
  4. Step 4: Simplify right side
    11,853.82x = 166,414,652.06
  5. Step 5: Solve for x
    x = 166,414,652.06/11,853.82
  6. Step 6: Final answer
    x = 14,038.90

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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.