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Finding the Fourth Proportional to 18,464.16, 27,710.78 and 6,780.72

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Solution

The fourth proportional to 18,464.16, 27,710.78 and 6,780.72 is: 10,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464.16 : 27,710.78 = 6,780.72 : x
  2. Step 2: Convert to fraction form
    18,464.16/27,710.78 = 6,780.72/x
  3. Step 3: Cross multiply
    18,464.16x = 27,710.78 × 6,780.72
  4. Step 4: Simplify right side
    18,464.16x = 187,899,006.26
  5. Step 5: Solve for x
    x = 187,899,006.26/18,464.16
  6. Step 6: Final answer
    x = 10,176.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.