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Finding the Fourth Proportional to 12,032.17, 18,029.12 and 5,450.83

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Solution

The fourth proportional to 12,032.17, 18,029.12 and 5,450.83 is: 8,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.17 : 18,029.12 = 5,450.83 : x
  2. Step 2: Convert to fraction form
    12,032.17/18,029.12 = 5,450.83/x
  3. Step 3: Cross multiply
    12,032.17x = 18,029.12 × 5,450.83
  4. Step 4: Simplify right side
    12,032.17x = 98,273,595.84
  5. Step 5: Solve for x
    x = 98,273,595.84/12,032.17
  6. Step 6: Final answer
    x = 8,167.57

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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.