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Finding the Fourth Proportional to 13,381.74, 20,072.84 and 5,065.67

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Solution

The fourth proportional to 13,381.74, 20,072.84 and 5,065.67 is: 7,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.74 : 20,072.84 = 5,065.67 : x
  2. Step 2: Convert to fraction form
    13,381.74/20,072.84 = 5,065.67/x
  3. Step 3: Cross multiply
    13,381.74x = 20,072.84 × 5,065.67
  4. Step 4: Simplify right side
    13,381.74x = 101,682,257.71
  5. Step 5: Solve for x
    x = 101,682,257.71/13,381.74
  6. Step 6: Final answer
    x = 7,598.58

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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.