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Finding the Fourth Proportional to 13,666.20, 20,500.44 and 10,013.88

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Solution

The fourth proportional to 13,666.20, 20,500.44 and 10,013.88 is: 15,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.20 : 20,500.44 = 10,013.88 : x
  2. Step 2: Convert to fraction form
    13,666.20/20,500.44 = 10,013.88/x
  3. Step 3: Cross multiply
    13,666.20x = 20,500.44 × 10,013.88
  4. Step 4: Simplify right side
    13,666.20x = 205,288,946.11
  5. Step 5: Solve for x
    x = 205,288,946.11/13,666.20
  6. Step 6: Final answer
    x = 15,021.66

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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.