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Finding the Fourth Proportional to 12,038.70, 18,045.90 and 5,469.60

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Solution

The fourth proportional to 12,038.70, 18,045.90 and 5,469.60 is: 8,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.70 : 18,045.90 = 5,469.60 : x
  2. Step 2: Convert to fraction form
    12,038.70/18,045.90 = 5,469.60/x
  3. Step 3: Cross multiply
    12,038.70x = 18,045.90 × 5,469.60
  4. Step 4: Simplify right side
    12,038.70x = 98,703,854.64
  5. Step 5: Solve for x
    x = 98,703,854.64/12,038.70
  6. Step 6: Final answer
    x = 8,198.88

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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.