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Finding the Fourth Proportional to 14,123.72, 21,171.84 and 7,877.96

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Solution

The fourth proportional to 14,123.72, 21,171.84 and 7,877.96 is: 11,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.72 : 21,171.84 = 7,877.96 : x
  2. Step 2: Convert to fraction form
    14,123.72/21,171.84 = 7,877.96/x
  3. Step 3: Cross multiply
    14,123.72x = 21,171.84 × 7,877.96
  4. Step 4: Simplify right side
    14,123.72x = 166,790,908.65
  5. Step 5: Solve for x
    x = 166,790,908.65/14,123.72
  6. Step 6: Final answer
    x = 11,809.28

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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.