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Finding the Fourth Proportional to 18,466.56, 27,710.88 and 6,780.96

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Solution

The fourth proportional to 18,466.56, 27,710.88 and 6,780.96 is: 10,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,466.56 : 27,710.88 = 6,780.96 : x
  2. Step 2: Convert to fraction form
    18,466.56/27,710.88 = 6,780.96/x
  3. Step 3: Cross multiply
    18,466.56x = 27,710.88 × 6,780.96
  4. Step 4: Simplify right side
    18,466.56x = 187,906,368.84
  5. Step 5: Solve for x
    x = 187,906,368.84/18,466.56
  6. Step 6: Final answer
    x = 10,175.49

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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.