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Finding the Fourth Proportional to 13,114.50, 19,672.02 and 3,880.50

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Solution

The fourth proportional to 13,114.50, 19,672.02 and 3,880.50 is: 5,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.50 : 19,672.02 = 3,880.50 : x
  2. Step 2: Convert to fraction form
    13,114.50/19,672.02 = 3,880.50/x
  3. Step 3: Cross multiply
    13,114.50x = 19,672.02 × 3,880.50
  4. Step 4: Simplify right side
    13,114.50x = 76,337,273.61
  5. Step 5: Solve for x
    x = 76,337,273.61/13,114.50
  6. Step 6: Final answer
    x = 5,820.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.