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Finding the Fourth Proportional to 18,393, 27,593.59 and 6,706.19

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Solution

The fourth proportional to 18,393, 27,593.59 and 6,706.19 is: 10,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,393 : 27,593.59 = 6,706.19 : x
  2. Step 2: Convert to fraction form
    18,393/27,593.59 = 6,706.19/x
  3. Step 3: Cross multiply
    18,393x = 27,593.59 × 6,706.19
  4. Step 4: Simplify right side
    18,393x = 185,047,857.32
  5. Step 5: Solve for x
    x = 185,047,857.32/18,393
  6. Step 6: Final answer
    x = 10,060.78

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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.