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Finding the Fourth Proportional to 18,563.88, 27,849.42 and 6,877.08

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Solution

The fourth proportional to 18,563.88, 27,849.42 and 6,877.08 is: 10,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.88 : 27,849.42 = 6,877.08 : x
  2. Step 2: Convert to fraction form
    18,563.88/27,849.42 = 6,877.08/x
  3. Step 3: Cross multiply
    18,563.88x = 27,849.42 × 6,877.08
  4. Step 4: Simplify right side
    18,563.88x = 191,522,689.29
  5. Step 5: Solve for x
    x = 191,522,689.29/18,563.88
  6. Step 6: Final answer
    x = 10,316.95

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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.