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Finding the Fourth Proportional to 13,333.50, 20,000.73 and 5,012.64

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Solution

The fourth proportional to 13,333.50, 20,000.73 and 5,012.64 is: 7,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333.50 : 20,000.73 = 5,012.64 : x
  2. Step 2: Convert to fraction form
    13,333.50/20,000.73 = 5,012.64/x
  3. Step 3: Cross multiply
    13,333.50x = 20,000.73 × 5,012.64
  4. Step 4: Simplify right side
    13,333.50x = 100,256,459.23
  5. Step 5: Solve for x
    x = 100,256,459.23/13,333.50
  6. Step 6: Final answer
    x = 7,519.14

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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.