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Finding the Fourth Proportional to 20,952.44, 31,438.92 and 9,858.68

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Solution

The fourth proportional to 20,952.44, 31,438.92 and 9,858.68 is: 14,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.44 : 31,438.92 = 9,858.68 : x
  2. Step 2: Convert to fraction form
    20,952.44/31,438.92 = 9,858.68/x
  3. Step 3: Cross multiply
    20,952.44x = 31,438.92 × 9,858.68
  4. Step 4: Simplify right side
    20,952.44x = 309,946,251.83
  5. Step 5: Solve for x
    x = 309,946,251.83/20,952.44
  6. Step 6: Final answer
    x = 14,792.85

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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.