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Finding the Fourth Proportional to 18,194.68, 27,287.16 and 7,804

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Solution

The fourth proportional to 18,194.68, 27,287.16 and 7,804 is: 11,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.68 : 27,287.16 = 7,804 : x
  2. Step 2: Convert to fraction form
    18,194.68/27,287.16 = 7,804/x
  3. Step 3: Cross multiply
    18,194.68x = 27,287.16 × 7,804
  4. Step 4: Simplify right side
    18,194.68x = 212,948,996.64
  5. Step 5: Solve for x
    x = 212,948,996.64/18,194.68
  6. Step 6: Final answer
    x = 11,703.92

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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.