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Finding the Fourth Proportional to 12,096.54, 18,146.84 and 4,700.84

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Solution

The fourth proportional to 12,096.54, 18,146.84 and 4,700.84 is: 7,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.54 : 18,146.84 = 4,700.84 : x
  2. Step 2: Convert to fraction form
    12,096.54/18,146.84 = 4,700.84/x
  3. Step 3: Cross multiply
    12,096.54x = 18,146.84 × 4,700.84
  4. Step 4: Simplify right side
    12,096.54x = 85,305,277.11
  5. Step 5: Solve for x
    x = 85,305,277.11/12,096.54
  6. Step 6: Final answer
    x = 7,052.04

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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.