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Finding the Fourth Proportional to 14,885.67, 20,542.15 and 8,171.40

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Solution

The fourth proportional to 14,885.67, 20,542.15 and 8,171.40 is: 11,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885.67 : 20,542.15 = 8,171.40 : x
  2. Step 2: Convert to fraction form
    14,885.67/20,542.15 = 8,171.40/x
  3. Step 3: Cross multiply
    14,885.67x = 20,542.15 × 8,171.40
  4. Step 4: Simplify right side
    14,885.67x = 167,858,124.51
  5. Step 5: Solve for x
    x = 167,858,124.51/14,885.67
  6. Step 6: Final answer
    x = 11,276.49

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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.