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Finding the Fourth Proportional to 20,265.98, 30,378.18 and 7,782.65

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Solution

The fourth proportional to 20,265.98, 30,378.18 and 7,782.65 is: 11,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.98 : 30,378.18 = 7,782.65 : x
  2. Step 2: Convert to fraction form
    20,265.98/30,378.18 = 7,782.65/x
  3. Step 3: Cross multiply
    20,265.98x = 30,378.18 × 7,782.65
  4. Step 4: Simplify right side
    20,265.98x = 236,422,590.69
  5. Step 5: Solve for x
    x = 236,422,590.69/20,265.98
  6. Step 6: Final answer
    x = 11,665.99

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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.