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Finding the Fourth Proportional to 13,660.02, 18,856.11 and 10,676.82

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Solution

The fourth proportional to 13,660.02, 18,856.11 and 10,676.82 is: 14,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.02 : 18,856.11 = 10,676.82 : x
  2. Step 2: Convert to fraction form
    13,660.02/18,856.11 = 10,676.82/x
  3. Step 3: Cross multiply
    13,660.02x = 18,856.11 × 10,676.82
  4. Step 4: Simplify right side
    13,660.02x = 201,323,292.37
  5. Step 5: Solve for x
    x = 201,323,292.37/13,660.02
  6. Step 6: Final answer
    x = 14,738.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.