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Finding the Fourth Proportional to 13,873.50, 20,815.11 and 10,341.90

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Solution

The fourth proportional to 13,873.50, 20,815.11 and 10,341.90 is: 15,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.50 : 20,815.11 = 10,341.90 : x
  2. Step 2: Convert to fraction form
    13,873.50/20,815.11 = 10,341.90/x
  3. Step 3: Cross multiply
    13,873.50x = 20,815.11 × 10,341.90
  4. Step 4: Simplify right side
    13,873.50x = 215,267,786.11
  5. Step 5: Solve for x
    x = 215,267,786.11/13,873.50
  6. Step 6: Final answer
    x = 15,516.47

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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.