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Finding the Fourth Proportional to 14,537.75, 20,057.67 and 8,567.24

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Solution

The fourth proportional to 14,537.75, 20,057.67 and 8,567.24 is: 11,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.75 : 20,057.67 = 8,567.24 : x
  2. Step 2: Convert to fraction form
    14,537.75/20,057.67 = 8,567.24/x
  3. Step 3: Cross multiply
    14,537.75x = 20,057.67 × 8,567.24
  4. Step 4: Simplify right side
    14,537.75x = 171,838,772.44
  5. Step 5: Solve for x
    x = 171,838,772.44/14,537.75
  6. Step 6: Final answer
    x = 11,820.18

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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.