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Finding the Fourth Proportional to 18,267, 27,400.50 and 5,955

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Solution

The fourth proportional to 18,267, 27,400.50 and 5,955 is: 8,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,267 : 27,400.50 = 5,955 : x
  2. Step 2: Convert to fraction form
    18,267/27,400.50 = 5,955/x
  3. Step 3: Cross multiply
    18,267x = 27,400.50 × 5,955
  4. Step 4: Simplify right side
    18,267x = 163,169,977.50
  5. Step 5: Solve for x
    x = 163,169,977.50/18,267
  6. Step 6: Final answer
    x = 8,932.50

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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.