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Finding the Fourth Proportional to 20,206.50, 27,885.51 and 11,254.38

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Solution

The fourth proportional to 20,206.50, 27,885.51 and 11,254.38 is: 15,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.50 : 27,885.51 = 11,254.38 : x
  2. Step 2: Convert to fraction form
    20,206.50/27,885.51 = 11,254.38/x
  3. Step 3: Cross multiply
    20,206.50x = 27,885.51 × 11,254.38
  4. Step 4: Simplify right side
    20,206.50x = 313,834,126.03
  5. Step 5: Solve for x
    x = 313,834,126.03/20,206.50
  6. Step 6: Final answer
    x = 15,531.35

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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.