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Finding the Fourth Proportional to 12,941.03, 17,853 and 8,222.78

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Solution

The fourth proportional to 12,941.03, 17,853 and 8,222.78 is: 11,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.03 : 17,853 = 8,222.78 : x
  2. Step 2: Convert to fraction form
    12,941.03/17,853 = 8,222.78/x
  3. Step 3: Cross multiply
    12,941.03x = 17,853 × 8,222.78
  4. Step 4: Simplify right side
    12,941.03x = 146,801,291.34
  5. Step 5: Solve for x
    x = 146,801,291.34/12,941.03
  6. Step 6: Final answer
    x = 11,343.86

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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.