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Finding the Fourth Proportional to 12,032.40, 18,043.98 and 4,133.44

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Solution

The fourth proportional to 12,032.40, 18,043.98 and 4,133.44 is: 6,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.40 : 18,043.98 = 4,133.44 : x
  2. Step 2: Convert to fraction form
    12,032.40/18,043.98 = 4,133.44/x
  3. Step 3: Cross multiply
    12,032.40x = 18,043.98 × 4,133.44
  4. Step 4: Simplify right side
    12,032.40x = 74,583,708.69
  5. Step 5: Solve for x
    x = 74,583,708.69/12,032.40
  6. Step 6: Final answer
    x = 6,198.57

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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.