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Finding the Fourth Proportional to 27,678.56, 41,529.92 and 14,527.68

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Solution

The fourth proportional to 27,678.56, 41,529.92 and 14,527.68 is: 21,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.56 : 41,529.92 = 14,527.68 : x
  2. Step 2: Convert to fraction form
    27,678.56/41,529.92 = 14,527.68/x
  3. Step 3: Cross multiply
    27,678.56x = 41,529.92 × 14,527.68
  4. Step 4: Simplify right side
    27,678.56x = 603,333,388.19
  5. Step 5: Solve for x
    x = 603,333,388.19/27,678.56
  6. Step 6: Final answer
    x = 21,797.86

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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.