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Finding the Fourth Proportional to 12,193.93, 18,274.49 and 6,638.95

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Solution

The fourth proportional to 12,193.93, 18,274.49 and 6,638.95 is: 9,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.93 : 18,274.49 = 6,638.95 : x
  2. Step 2: Convert to fraction form
    12,193.93/18,274.49 = 6,638.95/x
  3. Step 3: Cross multiply
    12,193.93x = 18,274.49 × 6,638.95
  4. Step 4: Simplify right side
    12,193.93x = 121,323,425.39
  5. Step 5: Solve for x
    x = 121,323,425.39/12,193.93
  6. Step 6: Final answer
    x = 9,949.49

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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.