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Finding the Fourth Proportional to 13,701.60, 20,576.70 and 10,589.18

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Solution

The fourth proportional to 13,701.60, 20,576.70 and 10,589.18 is: 15,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.60 : 20,576.70 = 10,589.18 : x
  2. Step 2: Convert to fraction form
    13,701.60/20,576.70 = 10,589.18/x
  3. Step 3: Cross multiply
    13,701.60x = 20,576.70 × 10,589.18
  4. Step 4: Simplify right side
    13,701.60x = 217,890,277.22
  5. Step 5: Solve for x
    x = 217,890,277.22/13,701.60
  6. Step 6: Final answer
    x = 15,902.54

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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.