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Finding the Fourth Proportional to 20,307.89, 30,450.15 and 7,826.31

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Solution

The fourth proportional to 20,307.89, 30,450.15 and 7,826.31 is: 11,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.89 : 30,450.15 = 7,826.31 : x
  2. Step 2: Convert to fraction form
    20,307.89/30,450.15 = 7,826.31/x
  3. Step 3: Cross multiply
    20,307.89x = 30,450.15 × 7,826.31
  4. Step 4: Simplify right side
    20,307.89x = 238,312,313.45
  5. Step 5: Solve for x
    x = 238,312,313.45/20,307.89
  6. Step 6: Final answer
    x = 11,734.96

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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.