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Finding the Fourth Proportional to 27,285.80, 40,954.68 and 14,147.60

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Solution

The fourth proportional to 27,285.80, 40,954.68 and 14,147.60 is: 21,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285.80 : 40,954.68 = 14,147.60 : x
  2. Step 2: Convert to fraction form
    27,285.80/40,954.68 = 14,147.60/x
  3. Step 3: Cross multiply
    27,285.80x = 40,954.68 × 14,147.60
  4. Step 4: Simplify right side
    27,285.80x = 579,410,430.77
  5. Step 5: Solve for x
    x = 579,410,430.77/27,285.80
  6. Step 6: Final answer
    x = 21,234.87

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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.