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Finding the Fourth Proportional to 11,414.76, 17,083.20 and 9,567.96

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Solution

The fourth proportional to 11,414.76, 17,083.20 and 9,567.96 is: 14,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.76 : 17,083.20 = 9,567.96 : x
  2. Step 2: Convert to fraction form
    11,414.76/17,083.20 = 9,567.96/x
  3. Step 3: Cross multiply
    11,414.76x = 17,083.20 × 9,567.96
  4. Step 4: Simplify right side
    11,414.76x = 163,451,374.27
  5. Step 5: Solve for x
    x = 163,451,374.27/11,414.76
  6. Step 6: Final answer
    x = 14,319.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.