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Finding the Fourth Proportional to 12,722.27, 17,567.19 and 8,253.63

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Solution

The fourth proportional to 12,722.27, 17,567.19 and 8,253.63 is: 11,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.27 : 17,567.19 = 8,253.63 : x
  2. Step 2: Convert to fraction form
    12,722.27/17,567.19 = 8,253.63/x
  3. Step 3: Cross multiply
    12,722.27x = 17,567.19 × 8,253.63
  4. Step 4: Simplify right side
    12,722.27x = 144,993,086.40
  5. Step 5: Solve for x
    x = 144,993,086.40/12,722.27
  6. Step 6: Final answer
    x = 11,396.80

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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.