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Finding the Fourth Proportional to 14,805.57, 20,433.12 and 8,092.23

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Solution

The fourth proportional to 14,805.57, 20,433.12 and 8,092.23 is: 11,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.57 : 20,433.12 = 8,092.23 : x
  2. Step 2: Convert to fraction form
    14,805.57/20,433.12 = 8,092.23/x
  3. Step 3: Cross multiply
    14,805.57x = 20,433.12 × 8,092.23
  4. Step 4: Simplify right side
    14,805.57x = 165,349,506.66
  5. Step 5: Solve for x
    x = 165,349,506.66/14,805.57
  6. Step 6: Final answer
    x = 11,168.06

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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.