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Finding the Fourth Proportional to 18,535.50, 27,803.39 and 4,684.50

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Solution

The fourth proportional to 18,535.50, 27,803.39 and 4,684.50 is: 7,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,535.50 : 27,803.39 = 4,684.50 : x
  2. Step 2: Convert to fraction form
    18,535.50/27,803.39 = 4,684.50/x
  3. Step 3: Cross multiply
    18,535.50x = 27,803.39 × 4,684.50
  4. Step 4: Simplify right side
    18,535.50x = 130,244,957.03
  5. Step 5: Solve for x
    x = 130,244,957.03/18,535.50
  6. Step 6: Final answer
    x = 7,026.78

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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.