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Finding the Fourth Proportional to 27,446.56, 41,169.84 and 6,670

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Solution

The fourth proportional to 27,446.56, 41,169.84 and 6,670 is: 10,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.56 : 41,169.84 = 6,670 : x
  2. Step 2: Convert to fraction form
    27,446.56/41,169.84 = 6,670/x
  3. Step 3: Cross multiply
    27,446.56x = 41,169.84 × 6,670
  4. Step 4: Simplify right side
    27,446.56x = 274,602,832.80
  5. Step 5: Solve for x
    x = 274,602,832.80/27,446.56
  6. Step 6: Final answer
    x = 10,005.00

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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.