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Finding the Fourth Proportional to 14,977.62, 20,668.89 and 8,171.58

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Solution

The fourth proportional to 14,977.62, 20,668.89 and 8,171.58 is: 11,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.62 : 20,668.89 = 8,171.58 : x
  2. Step 2: Convert to fraction form
    14,977.62/20,668.89 = 8,171.58/x
  3. Step 3: Cross multiply
    14,977.62x = 20,668.89 × 8,171.58
  4. Step 4: Simplify right side
    14,977.62x = 168,897,488.15
  5. Step 5: Solve for x
    x = 168,897,488.15/14,977.62
  6. Step 6: Final answer
    x = 11,276.66

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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.