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Finding the Fourth Proportional to 13,996.50, 21,000.24 and 5,232.12

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Solution

The fourth proportional to 13,996.50, 21,000.24 and 5,232.12 is: 7,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.50 : 21,000.24 = 5,232.12 : x
  2. Step 2: Convert to fraction form
    13,996.50/21,000.24 = 5,232.12/x
  3. Step 3: Cross multiply
    13,996.50x = 21,000.24 × 5,232.12
  4. Step 4: Simplify right side
    13,996.50x = 109,875,775.71
  5. Step 5: Solve for x
    x = 109,875,775.71/13,996.50
  6. Step 6: Final answer
    x = 7,850.23

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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.