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Finding the Fourth Proportional to 18,651.16, 27,975.83 and 6,963.47

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Solution

The fourth proportional to 18,651.16, 27,975.83 and 6,963.47 is: 10,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.16 : 27,975.83 = 6,963.47 : x
  2. Step 2: Convert to fraction form
    18,651.16/27,975.83 = 6,963.47/x
  3. Step 3: Cross multiply
    18,651.16x = 27,975.83 × 6,963.47
  4. Step 4: Simplify right side
    18,651.16x = 194,808,822.31
  5. Step 5: Solve for x
    x = 194,808,822.31/18,651.16
  6. Step 6: Final answer
    x = 10,444.86

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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.