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Finding the Fourth Proportional to 13,765.36, 20,651.04 and 5,000

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Solution

The fourth proportional to 13,765.36, 20,651.04 and 5,000 is: 7,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.36 : 20,651.04 = 5,000 : x
  2. Step 2: Convert to fraction form
    13,765.36/20,651.04 = 5,000/x
  3. Step 3: Cross multiply
    13,765.36x = 20,651.04 × 5,000
  4. Step 4: Simplify right side
    13,765.36x = 103,255,200
  5. Step 5: Solve for x
    x = 103,255,200/13,765.36
  6. Step 6: Final answer
    x = 7,501.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.