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Finding the Fourth Proportional to 12,140.68, 18,197.35 and 6,200.95

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Solution

The fourth proportional to 12,140.68, 18,197.35 and 6,200.95 is: 9,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.68 : 18,197.35 = 6,200.95 : x
  2. Step 2: Convert to fraction form
    12,140.68/18,197.35 = 6,200.95/x
  3. Step 3: Cross multiply
    12,140.68x = 18,197.35 × 6,200.95
  4. Step 4: Simplify right side
    12,140.68x = 112,840,857.48
  5. Step 5: Solve for x
    x = 112,840,857.48/12,140.68
  6. Step 6: Final answer
    x = 9,294.44

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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.