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Finding the Fourth Proportional to 18,492.80, 27,742.85 and 6,012.02

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Solution

The fourth proportional to 18,492.80, 27,742.85 and 6,012.02 is: 9,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492.80 : 27,742.85 = 6,012.02 : x
  2. Step 2: Convert to fraction form
    18,492.80/27,742.85 = 6,012.02/x
  3. Step 3: Cross multiply
    18,492.80x = 27,742.85 × 6,012.02
  4. Step 4: Simplify right side
    18,492.80x = 166,790,400.28
  5. Step 5: Solve for x
    x = 166,790,400.28/18,492.80
  6. Step 6: Final answer
    x = 9,019.21

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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.