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Finding the Fourth Proportional to 20,980.26, 31,460.67 and 7,823.16

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Solution

The fourth proportional to 20,980.26, 31,460.67 and 7,823.16 is: 11,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.26 : 31,460.67 = 7,823.16 : x
  2. Step 2: Convert to fraction form
    20,980.26/31,460.67 = 7,823.16/x
  3. Step 3: Cross multiply
    20,980.26x = 31,460.67 × 7,823.16
  4. Step 4: Simplify right side
    20,980.26x = 246,121,855.12
  5. Step 5: Solve for x
    x = 246,121,855.12/20,980.26
  6. Step 6: Final answer
    x = 11,731.12

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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.