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Finding the Fourth Proportional to 18,577.08, 27,869.97 and 6,098.12

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Solution

The fourth proportional to 18,577.08, 27,869.97 and 6,098.12 is: 9,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.08 : 27,869.97 = 6,098.12 : x
  2. Step 2: Convert to fraction form
    18,577.08/27,869.97 = 6,098.12/x
  3. Step 3: Cross multiply
    18,577.08x = 27,869.97 × 6,098.12
  4. Step 4: Simplify right side
    18,577.08x = 169,954,409.49
  5. Step 5: Solve for x
    x = 169,954,409.49/18,577.08
  6. Step 6: Final answer
    x = 9,148.61

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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.