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Finding the Fourth Proportional to 13,793.24, 20,689.88 and 3,405

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Solution

The fourth proportional to 13,793.24, 20,689.88 and 3,405 is: 5,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.24 : 20,689.88 = 3,405 : x
  2. Step 2: Convert to fraction form
    13,793.24/20,689.88 = 3,405/x
  3. Step 3: Cross multiply
    13,793.24x = 20,689.88 × 3,405
  4. Step 4: Simplify right side
    13,793.24x = 70,449,041.40
  5. Step 5: Solve for x
    x = 70,449,041.40/13,793.24
  6. Step 6: Final answer
    x = 5,107.50

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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.