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Finding the Fourth Proportional to 14,567.88, 20,103.19 and 8,194.60

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Solution

The fourth proportional to 14,567.88, 20,103.19 and 8,194.60 is: 11,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.88 : 20,103.19 = 8,194.60 : x
  2. Step 2: Convert to fraction form
    14,567.88/20,103.19 = 8,194.60/x
  3. Step 3: Cross multiply
    14,567.88x = 20,103.19 × 8,194.60
  4. Step 4: Simplify right side
    14,567.88x = 164,737,605.42
  5. Step 5: Solve for x
    x = 164,737,605.42/14,567.88
  6. Step 6: Final answer
    x = 11,308.27

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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.