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Finding the Fourth Proportional to 14,940.87, 22,382.13 and 11,638.50

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Solution

The fourth proportional to 14,940.87, 22,382.13 and 11,638.50 is: 17,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,940.87 : 22,382.13 = 11,638.50 : x
  2. Step 2: Convert to fraction form
    14,940.87/22,382.13 = 11,638.50/x
  3. Step 3: Cross multiply
    14,940.87x = 22,382.13 × 11,638.50
  4. Step 4: Simplify right side
    14,940.87x = 260,494,379.72
  5. Step 5: Solve for x
    x = 260,494,379.72/14,940.87
  6. Step 6: Final answer
    x = 17,435.03

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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.