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Finding the Fourth Proportional to 18,648.21, 27,965.64 and 6,165.93

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Solution

The fourth proportional to 18,648.21, 27,965.64 and 6,165.93 is: 9,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.21 : 27,965.64 = 6,165.93 : x
  2. Step 2: Convert to fraction form
    18,648.21/27,965.64 = 6,165.93/x
  3. Step 3: Cross multiply
    18,648.21x = 27,965.64 × 6,165.93
  4. Step 4: Simplify right side
    18,648.21x = 172,434,178.65
  5. Step 5: Solve for x
    x = 172,434,178.65/18,648.21
  6. Step 6: Final answer
    x = 9,246.69

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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.