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Finding the Fourth Proportional to 27,520.74, 41,270.34 and 9,744.54

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Solution

The fourth proportional to 27,520.74, 41,270.34 and 9,744.54 is: 14,613.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520.74 : 41,270.34 = 9,744.54 : x
  2. Step 2: Convert to fraction form
    27,520.74/41,270.34 = 9,744.54/x
  3. Step 3: Cross multiply
    27,520.74x = 41,270.34 × 9,744.54
  4. Step 4: Simplify right side
    27,520.74x = 402,160,478.94
  5. Step 5: Solve for x
    x = 402,160,478.94/27,520.74
  6. Step 6: Final answer
    x = 14,613.00

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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.