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Finding the Fourth Proportional to 20,954.40, 31,431.60 and 9,857.40

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Solution

The fourth proportional to 20,954.40, 31,431.60 and 9,857.40 is: 14,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.40 : 31,431.60 = 9,857.40 : x
  2. Step 2: Convert to fraction form
    20,954.40/31,431.60 = 9,857.40/x
  3. Step 3: Cross multiply
    20,954.40x = 31,431.60 × 9,857.40
  4. Step 4: Simplify right side
    20,954.40x = 309,833,853.84
  5. Step 5: Solve for x
    x = 309,833,853.84/20,954.40
  6. Step 6: Final answer
    x = 14,786.10

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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.