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Finding the Fourth Proportional to 13,683.14, 20,519.67 and 4,915.70

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Solution

The fourth proportional to 13,683.14, 20,519.67 and 4,915.70 is: 7,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.14 : 20,519.67 = 4,915.70 : x
  2. Step 2: Convert to fraction form
    13,683.14/20,519.67 = 4,915.70/x
  3. Step 3: Cross multiply
    13,683.14x = 20,519.67 × 4,915.70
  4. Step 4: Simplify right side
    13,683.14x = 100,868,541.82
  5. Step 5: Solve for x
    x = 100,868,541.82/13,683.14
  6. Step 6: Final answer
    x = 7,371.74

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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.