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Finding the Fourth Proportional to 18,205.42, 27,308.14 and 5,057.80

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Solution

The fourth proportional to 18,205.42, 27,308.14 and 5,057.80 is: 7,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.42 : 27,308.14 = 5,057.80 : x
  2. Step 2: Convert to fraction form
    18,205.42/27,308.14 = 5,057.80/x
  3. Step 3: Cross multiply
    18,205.42x = 27,308.14 × 5,057.80
  4. Step 4: Simplify right side
    18,205.42x = 138,119,110.49
  5. Step 5: Solve for x
    x = 138,119,110.49/18,205.42
  6. Step 6: Final answer
    x = 7,586.70

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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.