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Finding the Fourth Proportional to 13,873.83, 20,811.89 and 4,511.42

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Solution

The fourth proportional to 13,873.83, 20,811.89 and 4,511.42 is: 6,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.83 : 20,811.89 = 4,511.42 : x
  2. Step 2: Convert to fraction form
    13,873.83/20,811.89 = 4,511.42/x
  3. Step 3: Cross multiply
    13,873.83x = 20,811.89 × 4,511.42
  4. Step 4: Simplify right side
    13,873.83x = 93,891,195.20
  5. Step 5: Solve for x
    x = 93,891,195.20/13,873.83
  6. Step 6: Final answer
    x = 6,767.50

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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.