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Finding the Fourth Proportional to 16,921.94, 25,382.61 and 5,828.37

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Solution

The fourth proportional to 16,921.94, 25,382.61 and 5,828.37 is: 8,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,921.94 : 25,382.61 = 5,828.37 : x
  2. Step 2: Convert to fraction form
    16,921.94/25,382.61 = 5,828.37/x
  3. Step 3: Cross multiply
    16,921.94x = 25,382.61 × 5,828.37
  4. Step 4: Simplify right side
    16,921.94x = 147,939,242.65
  5. Step 5: Solve for x
    x = 147,939,242.65/16,921.94
  6. Step 6: Final answer
    x = 8,742.45

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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.