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Finding the Fourth Proportional to 12,302.68, 18,453.87 and 3,982.50

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Solution

The fourth proportional to 12,302.68, 18,453.87 and 3,982.50 is: 5,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.68 : 18,453.87 = 3,982.50 : x
  2. Step 2: Convert to fraction form
    12,302.68/18,453.87 = 3,982.50/x
  3. Step 3: Cross multiply
    12,302.68x = 18,453.87 × 3,982.50
  4. Step 4: Simplify right side
    12,302.68x = 73,492,537.28
  5. Step 5: Solve for x
    x = 73,492,537.28/12,302.68
  6. Step 6: Final answer
    x = 5,973.70

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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.