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Finding the Fourth Proportional to 20,805.57, 31,210.07 and 6,765.27

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Solution

The fourth proportional to 20,805.57, 31,210.07 and 6,765.27 is: 10,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.57 : 31,210.07 = 6,765.27 : x
  2. Step 2: Convert to fraction form
    20,805.57/31,210.07 = 6,765.27/x
  3. Step 3: Cross multiply
    20,805.57x = 31,210.07 × 6,765.27
  4. Step 4: Simplify right side
    20,805.57x = 211,144,579.72
  5. Step 5: Solve for x
    x = 211,144,579.72/20,805.57
  6. Step 6: Final answer
    x = 10,148.47

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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.