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Finding the Fourth Proportional to 20,185.53, 30,258.64 and 9,652.81

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Solution

The fourth proportional to 20,185.53, 30,258.64 and 9,652.81 is: 14,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.53 : 30,258.64 = 9,652.81 : x
  2. Step 2: Convert to fraction form
    20,185.53/30,258.64 = 9,652.81/x
  3. Step 3: Cross multiply
    20,185.53x = 30,258.64 × 9,652.81
  4. Step 4: Simplify right side
    20,185.53x = 292,080,902.78
  5. Step 5: Solve for x
    x = 292,080,902.78/20,185.53
  6. Step 6: Final answer
    x = 14,469.82

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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.