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Finding the Fourth Proportional to 18,651.48, 27,977.76 and 4,611.50

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Solution

The fourth proportional to 18,651.48, 27,977.76 and 4,611.50 is: 6,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.48 : 27,977.76 = 4,611.50 : x
  2. Step 2: Convert to fraction form
    18,651.48/27,977.76 = 4,611.50/x
  3. Step 3: Cross multiply
    18,651.48x = 27,977.76 × 4,611.50
  4. Step 4: Simplify right side
    18,651.48x = 129,019,300.35
  5. Step 5: Solve for x
    x = 129,019,300.35/18,651.48
  6. Step 6: Final answer
    x = 6,917.38

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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.