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Finding the Fourth Proportional to 19,765.89, 29,653.70 and 7,920.45

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Solution

The fourth proportional to 19,765.89, 29,653.70 and 7,920.45 is: 11,882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.89 : 29,653.70 = 7,920.45 : x
  2. Step 2: Convert to fraction form
    19,765.89/29,653.70 = 7,920.45/x
  3. Step 3: Cross multiply
    19,765.89x = 29,653.70 × 7,920.45
  4. Step 4: Simplify right side
    19,765.89x = 234,870,608.56
  5. Step 5: Solve for x
    x = 234,870,608.56/19,765.89
  6. Step 6: Final answer
    x = 11,882.62

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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.