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Finding the Fourth Proportional to 18,658.50, 27,987.87 and 6,977.22

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Solution

The fourth proportional to 18,658.50, 27,987.87 and 6,977.22 is: 10,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.50 : 27,987.87 = 6,977.22 : x
  2. Step 2: Convert to fraction form
    18,658.50/27,987.87 = 6,977.22/x
  3. Step 3: Cross multiply
    18,658.50x = 27,987.87 × 6,977.22
  4. Step 4: Simplify right side
    18,658.50x = 195,277,526.32
  5. Step 5: Solve for x
    x = 195,277,526.32/18,658.50
  6. Step 6: Final answer
    x = 10,465.87

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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.