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Finding the Fourth Proportional to 12,096.62, 18,146.06 and 4,701.64

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Solution

The fourth proportional to 12,096.62, 18,146.06 and 4,701.64 is: 7,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.62 : 18,146.06 = 4,701.64 : x
  2. Step 2: Convert to fraction form
    12,096.62/18,146.06 = 4,701.64/x
  3. Step 3: Cross multiply
    12,096.62x = 18,146.06 × 4,701.64
  4. Step 4: Simplify right side
    12,096.62x = 85,316,241.54
  5. Step 5: Solve for x
    x = 85,316,241.54/12,096.62
  6. Step 6: Final answer
    x = 7,052.90

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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.