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Finding the Fourth Proportional to 16,863.12, 23,266.80 and 10,892.88

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Solution

The fourth proportional to 16,863.12, 23,266.80 and 10,892.88 is: 15,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.12 : 23,266.80 = 10,892.88 : x
  2. Step 2: Convert to fraction form
    16,863.12/23,266.80 = 10,892.88/x
  3. Step 3: Cross multiply
    16,863.12x = 23,266.80 × 10,892.88
  4. Step 4: Simplify right side
    16,863.12x = 253,442,460.38
  5. Step 5: Solve for x
    x = 253,442,460.38/16,863.12
  6. Step 6: Final answer
    x = 15,029.39

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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.