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Finding the Fourth Proportional to 20,689.20, 31,048.20 and 13,311.60

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Solution

The fourth proportional to 20,689.20, 31,048.20 and 13,311.60 is: 19,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.20 : 31,048.20 = 13,311.60 : x
  2. Step 2: Convert to fraction form
    20,689.20/31,048.20 = 13,311.60/x
  3. Step 3: Cross multiply
    20,689.20x = 31,048.20 × 13,311.60
  4. Step 4: Simplify right side
    20,689.20x = 413,301,219.12
  5. Step 5: Solve for x
    x = 413,301,219.12/20,689.20
  6. Step 6: Final answer
    x = 19,976.67

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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.