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Finding the Fourth Proportional to 20,038.43, 27,665.61 and 12,871.23

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Solution

The fourth proportional to 20,038.43, 27,665.61 and 12,871.23 is: 17,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.43 : 27,665.61 = 12,871.23 : x
  2. Step 2: Convert to fraction form
    20,038.43/27,665.61 = 12,871.23/x
  3. Step 3: Cross multiply
    20,038.43x = 27,665.61 × 12,871.23
  4. Step 4: Simplify right side
    20,038.43x = 356,090,429.40
  5. Step 5: Solve for x
    x = 356,090,429.40/20,038.43
  6. Step 6: Final answer
    x = 17,770.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.