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Finding the Fourth Proportional to 13,071.69, 19,608.71 and 3,711.80

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Solution

The fourth proportional to 13,071.69, 19,608.71 and 3,711.80 is: 5,568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.69 : 19,608.71 = 3,711.80 : x
  2. Step 2: Convert to fraction form
    13,071.69/19,608.71 = 3,711.80/x
  3. Step 3: Cross multiply
    13,071.69x = 19,608.71 × 3,711.80
  4. Step 4: Simplify right side
    13,071.69x = 72,783,609.78
  5. Step 5: Solve for x
    x = 72,783,609.78/13,071.69
  6. Step 6: Final answer
    x = 5,568.03

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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.