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Finding the Fourth Proportional to 13,783.32, 20,662.48 and 5,012.03

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Solution

The fourth proportional to 13,783.32, 20,662.48 and 5,012.03 is: 7,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.32 : 20,662.48 = 5,012.03 : x
  2. Step 2: Convert to fraction form
    13,783.32/20,662.48 = 5,012.03/x
  3. Step 3: Cross multiply
    13,783.32x = 20,662.48 × 5,012.03
  4. Step 4: Simplify right side
    13,783.32x = 103,560,944.57
  5. Step 5: Solve for x
    x = 103,560,944.57/13,783.32
  6. Step 6: Final answer
    x = 7,513.50

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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.