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Finding the Fourth Proportional to 14,513.80, 21,773.82 and 6,193.96

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Solution

The fourth proportional to 14,513.80, 21,773.82 and 6,193.96 is: 9,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.80 : 21,773.82 = 6,193.96 : x
  2. Step 2: Convert to fraction form
    14,513.80/21,773.82 = 6,193.96/x
  3. Step 3: Cross multiply
    14,513.80x = 21,773.82 × 6,193.96
  4. Step 4: Simplify right side
    14,513.80x = 134,866,170.13
  5. Step 5: Solve for x
    x = 134,866,170.13/14,513.80
  6. Step 6: Final answer
    x = 9,292.27

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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.