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Finding the Fourth Proportional to 13,506.72, 18,635.92 and 10,157.56

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Solution

The fourth proportional to 13,506.72, 18,635.92 and 10,157.56 is: 14,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.72 : 18,635.92 = 10,157.56 : x
  2. Step 2: Convert to fraction form
    13,506.72/18,635.92 = 10,157.56/x
  3. Step 3: Cross multiply
    13,506.72x = 18,635.92 × 10,157.56
  4. Step 4: Simplify right side
    13,506.72x = 189,295,475.56
  5. Step 5: Solve for x
    x = 189,295,475.56/13,506.72
  6. Step 6: Final answer
    x = 14,014.91

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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.