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Finding the Fourth Proportional to 16,686.72, 23,046.57 and 11,372.31

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Solution

The fourth proportional to 16,686.72, 23,046.57 and 11,372.31 is: 15,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.72 : 23,046.57 = 11,372.31 : x
  2. Step 2: Convert to fraction form
    16,686.72/23,046.57 = 11,372.31/x
  3. Step 3: Cross multiply
    16,686.72x = 23,046.57 × 11,372.31
  4. Step 4: Simplify right side
    16,686.72x = 262,092,738.48
  5. Step 5: Solve for x
    x = 262,092,738.48/16,686.72
  6. Step 6: Final answer
    x = 15,706.67

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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.