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Finding the Fourth Proportional to 12,032.73, 18,049.12 and 4,640.67

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Solution

The fourth proportional to 12,032.73, 18,049.12 and 4,640.67 is: 6,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.73 : 18,049.12 = 4,640.67 : x
  2. Step 2: Convert to fraction form
    12,032.73/18,049.12 = 4,640.67/x
  3. Step 3: Cross multiply
    12,032.73x = 18,049.12 × 4,640.67
  4. Step 4: Simplify right side
    12,032.73x = 83,759,998.11
  5. Step 5: Solve for x
    x = 83,759,998.11/12,032.73
  6. Step 6: Final answer
    x = 6,961.01

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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.