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Finding the Fourth Proportional to 12,021, 18,031.50 and 3,813

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Solution

The fourth proportional to 12,021, 18,031.50 and 3,813 is: 5,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021 : 18,031.50 = 3,813 : x
  2. Step 2: Convert to fraction form
    12,021/18,031.50 = 3,813/x
  3. Step 3: Cross multiply
    12,021x = 18,031.50 × 3,813
  4. Step 4: Simplify right side
    12,021x = 68,754,109.50
  5. Step 5: Solve for x
    x = 68,754,109.50/12,021
  6. Step 6: Final answer
    x = 5,719.50

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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.