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Finding the Fourth Proportional to 20,152.56, 30,182.74 and 9,629.98

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Solution

The fourth proportional to 20,152.56, 30,182.74 and 9,629.98 is: 14,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.56 : 30,182.74 = 9,629.98 : x
  2. Step 2: Convert to fraction form
    20,152.56/30,182.74 = 9,629.98/x
  3. Step 3: Cross multiply
    20,152.56x = 30,182.74 × 9,629.98
  4. Step 4: Simplify right side
    20,152.56x = 290,659,182.55
  5. Step 5: Solve for x
    x = 290,659,182.55/20,152.56
  6. Step 6: Final answer
    x = 14,422.94

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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.