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Finding the Fourth Proportional to 12,174.60, 18,256.23 and 4,382.40

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Solution

The fourth proportional to 12,174.60, 18,256.23 and 4,382.40 is: 6,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.60 : 18,256.23 = 4,382.40 : x
  2. Step 2: Convert to fraction form
    12,174.60/18,256.23 = 4,382.40/x
  3. Step 3: Cross multiply
    12,174.60x = 18,256.23 × 4,382.40
  4. Step 4: Simplify right side
    12,174.60x = 80,006,102.35
  5. Step 5: Solve for x
    x = 80,006,102.35/12,174.60
  6. Step 6: Final answer
    x = 6,571.56

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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.