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Finding the Fourth Proportional to 18,333.12, 27,513.50 and 13,415.44

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Solution

The fourth proportional to 18,333.12, 27,513.50 and 13,415.44 is: 20,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,333.12 : 27,513.50 = 13,415.44 : x
  2. Step 2: Convert to fraction form
    18,333.12/27,513.50 = 13,415.44/x
  3. Step 3: Cross multiply
    18,333.12x = 27,513.50 × 13,415.44
  4. Step 4: Simplify right side
    18,333.12x = 369,105,708.44
  5. Step 5: Solve for x
    x = 369,105,708.44/18,333.12
  6. Step 6: Final answer
    x = 20,133.27

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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.