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Finding the Fourth Proportional to 12,096.58, 18,146.02 and 4,701.61

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Solution

The fourth proportional to 12,096.58, 18,146.02 and 4,701.61 is: 7,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.58 : 18,146.02 = 4,701.61 : x
  2. Step 2: Convert to fraction form
    12,096.58/18,146.02 = 4,701.61/x
  3. Step 3: Cross multiply
    12,096.58x = 18,146.02 × 4,701.61
  4. Step 4: Simplify right side
    12,096.58x = 85,315,509.09
  5. Step 5: Solve for x
    x = 85,315,509.09/12,096.58
  6. Step 6: Final answer
    x = 7,052.86

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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.