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Finding the Fourth Proportional to 18,602.70, 27,868.41 and 17,977.38

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Solution

The fourth proportional to 18,602.70, 27,868.41 and 17,977.38 is: 26,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,602.70 : 27,868.41 = 17,977.38 : x
  2. Step 2: Convert to fraction form
    18,602.70/27,868.41 = 17,977.38/x
  3. Step 3: Cross multiply
    18,602.70x = 27,868.41 × 17,977.38
  4. Step 4: Simplify right side
    18,602.70x = 501,000,996.57
  5. Step 5: Solve for x
    x = 501,000,996.57/18,602.70
  6. Step 6: Final answer
    x = 26,931.63

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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.