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Finding the Fourth Proportional to 18,652.10, 27,981.03 and 6,175.26

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Solution

The fourth proportional to 18,652.10, 27,981.03 and 6,175.26 is: 9,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.10 : 27,981.03 = 6,175.26 : x
  2. Step 2: Convert to fraction form
    18,652.10/27,981.03 = 6,175.26/x
  3. Step 3: Cross multiply
    18,652.10x = 27,981.03 × 6,175.26
  4. Step 4: Simplify right side
    18,652.10x = 172,790,135.32
  5. Step 5: Solve for x
    x = 172,790,135.32/18,652.10
  6. Step 6: Final answer
    x = 9,263.84

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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.