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Finding the Fourth Proportional to 20,491.72, 28,277.81 and 11,416.87

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Solution

The fourth proportional to 20,491.72, 28,277.81 and 11,416.87 is: 15,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.72 : 28,277.81 = 11,416.87 : x
  2. Step 2: Convert to fraction form
    20,491.72/28,277.81 = 11,416.87/x
  3. Step 3: Cross multiply
    20,491.72x = 28,277.81 × 11,416.87
  4. Step 4: Simplify right side
    20,491.72x = 322,844,080.65
  5. Step 5: Solve for x
    x = 322,844,080.65/20,491.72
  6. Step 6: Final answer
    x = 15,754.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.