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Finding the Fourth Proportional to 20,204.95, 27,885.38 and 12,246.16

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Solution

The fourth proportional to 20,204.95, 27,885.38 and 12,246.16 is: 16,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.95 : 27,885.38 = 12,246.16 : x
  2. Step 2: Convert to fraction form
    20,204.95/27,885.38 = 12,246.16/x
  3. Step 3: Cross multiply
    20,204.95x = 27,885.38 × 12,246.16
  4. Step 4: Simplify right side
    20,204.95x = 341,488,825.14
  5. Step 5: Solve for x
    x = 341,488,825.14/20,204.95
  6. Step 6: Final answer
    x = 16,901.25

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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.