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Finding the Fourth Proportional to 18,674.32, 27,996.36 and 6,985.84

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Solution

The fourth proportional to 18,674.32, 27,996.36 and 6,985.84 is: 10,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,674.32 : 27,996.36 = 6,985.84 : x
  2. Step 2: Convert to fraction form
    18,674.32/27,996.36 = 6,985.84/x
  3. Step 3: Cross multiply
    18,674.32x = 27,996.36 × 6,985.84
  4. Step 4: Simplify right side
    18,674.32x = 195,578,091.54
  5. Step 5: Solve for x
    x = 195,578,091.54/18,674.32
  6. Step 6: Final answer
    x = 10,473.10

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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.