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Finding the Fourth Proportional to 18,230.24, 27,313.86 and 14,235.50

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Solution

The fourth proportional to 18,230.24, 27,313.86 and 14,235.50 is: 21,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230.24 : 27,313.86 = 14,235.50 : x
  2. Step 2: Convert to fraction form
    18,230.24/27,313.86 = 14,235.50/x
  3. Step 3: Cross multiply
    18,230.24x = 27,313.86 × 14,235.50
  4. Step 4: Simplify right side
    18,230.24x = 388,826,454.03
  5. Step 5: Solve for x
    x = 388,826,454.03/18,230.24
  6. Step 6: Final answer
    x = 21,328.65

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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.