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Finding the Fourth Proportional to 20,314.65, 30,446.60 and 9,782.71

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Solution

The fourth proportional to 20,314.65, 30,446.60 and 9,782.71 is: 14,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.65 : 30,446.60 = 9,782.71 : x
  2. Step 2: Convert to fraction form
    20,314.65/30,446.60 = 9,782.71/x
  3. Step 3: Cross multiply
    20,314.65x = 30,446.60 × 9,782.71
  4. Step 4: Simplify right side
    20,314.65x = 297,850,206.63
  5. Step 5: Solve for x
    x = 297,850,206.63/20,314.65
  6. Step 6: Final answer
    x = 14,661.84

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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.