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Finding the Fourth Proportional to 13,982.18, 20,952.14 and 8,429.31

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Solution

The fourth proportional to 13,982.18, 20,952.14 and 8,429.31 is: 12,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.18 : 20,952.14 = 8,429.31 : x
  2. Step 2: Convert to fraction form
    13,982.18/20,952.14 = 8,429.31/x
  3. Step 3: Cross multiply
    13,982.18x = 20,952.14 × 8,429.31
  4. Step 4: Simplify right side
    13,982.18x = 176,612,041.08
  5. Step 5: Solve for x
    x = 176,612,041.08/13,982.18
  6. Step 6: Final answer
    x = 12,631.23

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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.