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Finding the Fourth Proportional to 14,977.14, 20,668.47 and 8,171.22

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Solution

The fourth proportional to 14,977.14, 20,668.47 and 8,171.22 is: 11,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.14 : 20,668.47 = 8,171.22 : x
  2. Step 2: Convert to fraction form
    14,977.14/20,668.47 = 8,171.22/x
  3. Step 3: Cross multiply
    14,977.14x = 20,668.47 × 8,171.22
  4. Step 4: Simplify right side
    14,977.14x = 168,886,615.43
  5. Step 5: Solve for x
    x = 168,886,615.43/14,977.14
  6. Step 6: Final answer
    x = 11,276.29

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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.