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Finding the Fourth Proportional to 12,195.59, 18,294.61 and 3,311.07

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Solution

The fourth proportional to 12,195.59, 18,294.61 and 3,311.07 is: 4,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.59 : 18,294.61 = 3,311.07 : x
  2. Step 2: Convert to fraction form
    12,195.59/18,294.61 = 3,311.07/x
  3. Step 3: Cross multiply
    12,195.59x = 18,294.61 × 3,311.07
  4. Step 4: Simplify right side
    12,195.59x = 60,574,663.66
  5. Step 5: Solve for x
    x = 60,574,663.66/12,195.59
  6. Step 6: Final answer
    x = 4,966.93

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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.