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Finding the Fourth Proportional to 18,438.84, 27,658.26 and 5,969.50

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Solution

The fourth proportional to 18,438.84, 27,658.26 and 5,969.50 is: 8,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,438.84 : 27,658.26 = 5,969.50 : x
  2. Step 2: Convert to fraction form
    18,438.84/27,658.26 = 5,969.50/x
  3. Step 3: Cross multiply
    18,438.84x = 27,658.26 × 5,969.50
  4. Step 4: Simplify right side
    18,438.84x = 165,105,913.92
  5. Step 5: Solve for x
    x = 165,105,913.92/18,438.84
  6. Step 6: Final answer
    x = 8,954.25

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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.