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Finding the Fourth Proportional to 20,546.63, 30,801.44 and 7,389.75

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Solution

The fourth proportional to 20,546.63, 30,801.44 and 7,389.75 is: 11,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.63 : 30,801.44 = 7,389.75 : x
  2. Step 2: Convert to fraction form
    20,546.63/30,801.44 = 7,389.75/x
  3. Step 3: Cross multiply
    20,546.63x = 30,801.44 × 7,389.75
  4. Step 4: Simplify right side
    20,546.63x = 227,614,959.71
  5. Step 5: Solve for x
    x = 227,614,959.71/20,546.63
  6. Step 6: Final answer
    x = 11,077.97

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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.