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Finding the Fourth Proportional to 18,826.14, 28,221.93 and 6,505.50

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Solution

The fourth proportional to 18,826.14, 28,221.93 and 6,505.50 is: 9,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,826.14 : 28,221.93 = 6,505.50 : x
  2. Step 2: Convert to fraction form
    18,826.14/28,221.93 = 6,505.50/x
  3. Step 3: Cross multiply
    18,826.14x = 28,221.93 × 6,505.50
  4. Step 4: Simplify right side
    18,826.14x = 183,597,765.62
  5. Step 5: Solve for x
    x = 183,597,765.62/18,826.14
  6. Step 6: Final answer
    x = 9,752.28

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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.