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Finding the Fourth Proportional to 20,175.68, 30,254.40 and 9,076.65

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Solution

The fourth proportional to 20,175.68, 30,254.40 and 9,076.65 is: 13,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.68 : 30,254.40 = 9,076.65 : x
  2. Step 2: Convert to fraction form
    20,175.68/30,254.40 = 9,076.65/x
  3. Step 3: Cross multiply
    20,175.68x = 30,254.40 × 9,076.65
  4. Step 4: Simplify right side
    20,175.68x = 274,608,599.76
  5. Step 5: Solve for x
    x = 274,608,599.76/20,175.68
  6. Step 6: Final answer
    x = 13,610.88

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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.