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Finding the Fourth Proportional to 26,000.20, 38,974.70 and 12,854.60

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Solution

The fourth proportional to 26,000.20, 38,974.70 and 12,854.60 is: 19,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.20 : 38,974.70 = 12,854.60 : x
  2. Step 2: Convert to fraction form
    26,000.20/38,974.70 = 12,854.60/x
  3. Step 3: Cross multiply
    26,000.20x = 38,974.70 × 12,854.60
  4. Step 4: Simplify right side
    26,000.20x = 501,004,178.62
  5. Step 5: Solve for x
    x = 501,004,178.62/26,000.20
  6. Step 6: Final answer
    x = 19,269.24

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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.