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Finding the Fourth Proportional to 20,828.19, 31,242.41 and 8,516.19

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Solution

The fourth proportional to 20,828.19, 31,242.41 and 8,516.19 is: 12,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.19 : 31,242.41 = 8,516.19 : x
  2. Step 2: Convert to fraction form
    20,828.19/31,242.41 = 8,516.19/x
  3. Step 3: Cross multiply
    20,828.19x = 31,242.41 × 8,516.19
  4. Step 4: Simplify right side
    20,828.19x = 266,066,257.04
  5. Step 5: Solve for x
    x = 266,066,257.04/20,828.19
  6. Step 6: Final answer
    x = 12,774.33

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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.