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Finding the Fourth Proportional to 12,097.56, 18,141.40 and 3,774.80

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Solution

The fourth proportional to 12,097.56, 18,141.40 and 3,774.80 is: 5,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.56 : 18,141.40 = 3,774.80 : x
  2. Step 2: Convert to fraction form
    12,097.56/18,141.40 = 3,774.80/x
  3. Step 3: Cross multiply
    12,097.56x = 18,141.40 × 3,774.80
  4. Step 4: Simplify right side
    12,097.56x = 68,480,156.72
  5. Step 5: Solve for x
    x = 68,480,156.72/12,097.56
  6. Step 6: Final answer
    x = 5,660.66

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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.