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Finding the Fourth Proportional to 20,576.06, 30,776.18 and 17,178.20

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Solution

The fourth proportional to 20,576.06, 30,776.18 and 17,178.20 is: 25,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.06 : 30,776.18 = 17,178.20 : x
  2. Step 2: Convert to fraction form
    20,576.06/30,776.18 = 17,178.20/x
  3. Step 3: Cross multiply
    20,576.06x = 30,776.18 × 17,178.20
  4. Step 4: Simplify right side
    20,576.06x = 528,679,375.28
  5. Step 5: Solve for x
    x = 528,679,375.28/20,576.06
  6. Step 6: Final answer
    x = 25,693.91

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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.