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Finding the Fourth Proportional to 18,206.50, 27,311.23 and 5,058.87

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Solution

The fourth proportional to 18,206.50, 27,311.23 and 5,058.87 is: 7,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.50 : 27,311.23 = 5,058.87 : x
  2. Step 2: Convert to fraction form
    18,206.50/27,311.23 = 5,058.87/x
  3. Step 3: Cross multiply
    18,206.50x = 27,311.23 × 5,058.87
  4. Step 4: Simplify right side
    18,206.50x = 138,164,019.64
  5. Step 5: Solve for x
    x = 138,164,019.64/18,206.50
  6. Step 6: Final answer
    x = 7,588.72

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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.