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Finding the Fourth Proportional to 13,215.02, 19,825 and 10,771.26

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Solution

The fourth proportional to 13,215.02, 19,825 and 10,771.26 is: 16,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.02 : 19,825 = 10,771.26 : x
  2. Step 2: Convert to fraction form
    13,215.02/19,825 = 10,771.26/x
  3. Step 3: Cross multiply
    13,215.02x = 19,825 × 10,771.26
  4. Step 4: Simplify right side
    13,215.02x = 213,540,229.50
  5. Step 5: Solve for x
    x = 213,540,229.50/13,215.02
  6. Step 6: Final answer
    x = 16,158.90

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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.