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Finding the Fourth Proportional to 12,897.24, 17,793.09 and 8,419.56

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Solution

The fourth proportional to 12,897.24, 17,793.09 and 8,419.56 is: 11,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.24 : 17,793.09 = 8,419.56 : x
  2. Step 2: Convert to fraction form
    12,897.24/17,793.09 = 8,419.56/x
  3. Step 3: Cross multiply
    12,897.24x = 17,793.09 × 8,419.56
  4. Step 4: Simplify right side
    12,897.24x = 149,809,988.84
  5. Step 5: Solve for x
    x = 149,809,988.84/12,897.24
  6. Step 6: Final answer
    x = 11,615.66

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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.