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Finding the Fourth Proportional to 12,910.02, 17,818.71 and 8,193.42

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Solution

The fourth proportional to 12,910.02, 17,818.71 and 8,193.42 is: 11,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.02 : 17,818.71 = 8,193.42 : x
  2. Step 2: Convert to fraction form
    12,910.02/17,818.71 = 8,193.42/x
  3. Step 3: Cross multiply
    12,910.02x = 17,818.71 × 8,193.42
  4. Step 4: Simplify right side
    12,910.02x = 145,996,174.89
  5. Step 5: Solve for x
    x = 145,996,174.89/12,910.02
  6. Step 6: Final answer
    x = 11,308.75

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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.