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Finding the Fourth Proportional to 13,672.50, 20,500.93 and 8,129.72

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Solution

The fourth proportional to 13,672.50, 20,500.93 and 8,129.72 is: 12,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.50 : 20,500.93 = 8,129.72 : x
  2. Step 2: Convert to fraction form
    13,672.50/20,500.93 = 8,129.72/x
  3. Step 3: Cross multiply
    13,672.50x = 20,500.93 × 8,129.72
  4. Step 4: Simplify right side
    13,672.50x = 166,666,882.05
  5. Step 5: Solve for x
    x = 166,666,882.05/13,672.50
  6. Step 6: Final answer
    x = 12,189.93

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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.