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Finding the Fourth Proportional to 12,102.68, 18,151.50 and 4,706.97

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Solution

The fourth proportional to 12,102.68, 18,151.50 and 4,706.97 is: 7,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.68 : 18,151.50 = 4,706.97 : x
  2. Step 2: Convert to fraction form
    12,102.68/18,151.50 = 4,706.97/x
  3. Step 3: Cross multiply
    12,102.68x = 18,151.50 × 4,706.97
  4. Step 4: Simplify right side
    12,102.68x = 85,438,565.96
  5. Step 5: Solve for x
    x = 85,438,565.96/12,102.68
  6. Step 6: Final answer
    x = 7,059.48

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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.