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Finding the Fourth Proportional to 18,585, 27,862.76 and 6,736.92

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Solution

The fourth proportional to 18,585, 27,862.76 and 6,736.92 is: 10,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 27,862.76 = 6,736.92 : x
  2. Step 2: Convert to fraction form
    18,585/27,862.76 = 6,736.92/x
  3. Step 3: Cross multiply
    18,585x = 27,862.76 × 6,736.92
  4. Step 4: Simplify right side
    18,585x = 187,709,185.10
  5. Step 5: Solve for x
    x = 187,709,185.10/18,585
  6. Step 6: Final answer
    x = 10,100.04

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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.