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Finding the Fourth Proportional to 12,093.72, 18,141.26 and 4,302.53

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Solution

The fourth proportional to 12,093.72, 18,141.26 and 4,302.53 is: 6,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.72 : 18,141.26 = 4,302.53 : x
  2. Step 2: Convert to fraction form
    12,093.72/18,141.26 = 4,302.53/x
  3. Step 3: Cross multiply
    12,093.72x = 18,141.26 × 4,302.53
  4. Step 4: Simplify right side
    12,093.72x = 78,053,371.50
  5. Step 5: Solve for x
    x = 78,053,371.50/12,093.72
  6. Step 6: Final answer
    x = 6,454.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.