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Finding the Fourth Proportional to 12,302.72, 18,443.84 and 5,725.44

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Solution

The fourth proportional to 12,302.72, 18,443.84 and 5,725.44 is: 8,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.72 : 18,443.84 = 5,725.44 : x
  2. Step 2: Convert to fraction form
    12,302.72/18,443.84 = 5,725.44/x
  3. Step 3: Cross multiply
    12,302.72x = 18,443.84 × 5,725.44
  4. Step 4: Simplify right side
    12,302.72x = 105,599,099.29
  5. Step 5: Solve for x
    x = 105,599,099.29/12,302.72
  6. Step 6: Final answer
    x = 8,583.39

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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.