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Finding the Fourth Proportional to 20,914.65, 31,371.98 and 6,123.57

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Solution

The fourth proportional to 20,914.65, 31,371.98 and 6,123.57 is: 9,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.65 : 31,371.98 = 6,123.57 : x
  2. Step 2: Convert to fraction form
    20,914.65/31,371.98 = 6,123.57/x
  3. Step 3: Cross multiply
    20,914.65x = 31,371.98 × 6,123.57
  4. Step 4: Simplify right side
    20,914.65x = 192,108,367.31
  5. Step 5: Solve for x
    x = 192,108,367.31/20,914.65
  6. Step 6: Final answer
    x = 9,185.35

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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.