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Finding the Fourth Proportional to 14,624.37, 21,939.75 and 6,828.93

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Solution

The fourth proportional to 14,624.37, 21,939.75 and 6,828.93 is: 10,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.37 : 21,939.75 = 6,828.93 : x
  2. Step 2: Convert to fraction form
    14,624.37/21,939.75 = 6,828.93/x
  3. Step 3: Cross multiply
    14,624.37x = 21,939.75 × 6,828.93
  4. Step 4: Simplify right side
    14,624.37x = 149,825,016.97
  5. Step 5: Solve for x
    x = 149,825,016.97/14,624.37
  6. Step 6: Final answer
    x = 10,244.89

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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.