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Finding the Fourth Proportional to 13,559.50, 20,318.46 and 8,614

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Solution

The fourth proportional to 13,559.50, 20,318.46 and 8,614 is: 12,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,559.50 : 20,318.46 = 8,614 : x
  2. Step 2: Convert to fraction form
    13,559.50/20,318.46 = 8,614/x
  3. Step 3: Cross multiply
    13,559.50x = 20,318.46 × 8,614
  4. Step 4: Simplify right side
    13,559.50x = 175,023,214.44
  5. Step 5: Solve for x
    x = 175,023,214.44/13,559.50
  6. Step 6: Final answer
    x = 12,907.79

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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.