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Finding the Fourth Proportional to 18,457.10, 27,689.29 and 6,770.42

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Solution

The fourth proportional to 18,457.10, 27,689.29 and 6,770.42 is: 10,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.10 : 27,689.29 = 6,770.42 : x
  2. Step 2: Convert to fraction form
    18,457.10/27,689.29 = 6,770.42/x
  3. Step 3: Cross multiply
    18,457.10x = 27,689.29 × 6,770.42
  4. Step 4: Simplify right side
    18,457.10x = 187,467,984.36
  5. Step 5: Solve for x
    x = 187,467,984.36/18,457.10
  6. Step 6: Final answer
    x = 10,156.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.