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Finding the Fourth Proportional to 18,224, 25,149.12 and 13,260.16

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Solution

The fourth proportional to 18,224, 25,149.12 and 13,260.16 is: 18,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224 : 25,149.12 = 13,260.16 : x
  2. Step 2: Convert to fraction form
    18,224/25,149.12 = 13,260.16/x
  3. Step 3: Cross multiply
    18,224x = 25,149.12 × 13,260.16
  4. Step 4: Simplify right side
    18,224x = 333,481,355.06
  5. Step 5: Solve for x
    x = 333,481,355.06/18,224
  6. Step 6: Final answer
    x = 18,299.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.