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Finding the Fourth Proportional to 20,884.65, 31,310.72 and 14,203.67

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Solution

The fourth proportional to 20,884.65, 31,310.72 and 14,203.67 is: 21,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.65 : 31,310.72 = 14,203.67 : x
  2. Step 2: Convert to fraction form
    20,884.65/31,310.72 = 14,203.67/x
  3. Step 3: Cross multiply
    20,884.65x = 31,310.72 × 14,203.67
  4. Step 4: Simplify right side
    20,884.65x = 444,726,960.03
  5. Step 5: Solve for x
    x = 444,726,960.03/20,884.65
  6. Step 6: Final answer
    x = 21,294.45

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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.