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Finding the Fourth Proportional to 14,630.21, 20,189.88 and 8,257.16

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Solution

The fourth proportional to 14,630.21, 20,189.88 and 8,257.16 is: 11,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.21 : 20,189.88 = 8,257.16 : x
  2. Step 2: Convert to fraction form
    14,630.21/20,189.88 = 8,257.16/x
  3. Step 3: Cross multiply
    14,630.21x = 20,189.88 × 8,257.16
  4. Step 4: Simplify right side
    14,630.21x = 166,711,069.54
  5. Step 5: Solve for x
    x = 166,711,069.54/14,630.21
  6. Step 6: Final answer
    x = 11,394.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.