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Finding the Fourth Proportional to 13,873.44, 20,807.52 and 4,513.50

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Solution

The fourth proportional to 13,873.44, 20,807.52 and 4,513.50 is: 6,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.44 : 20,807.52 = 4,513.50 : x
  2. Step 2: Convert to fraction form
    13,873.44/20,807.52 = 4,513.50/x
  3. Step 3: Cross multiply
    13,873.44x = 20,807.52 × 4,513.50
  4. Step 4: Simplify right side
    13,873.44x = 93,914,741.52
  5. Step 5: Solve for x
    x = 93,914,741.52/13,873.44
  6. Step 6: Final answer
    x = 6,769.39

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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.