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Finding the Fourth Proportional to 18,208.78, 27,313.16 and 10,412.12

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Solution

The fourth proportional to 18,208.78, 27,313.16 and 10,412.12 is: 15,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.78 : 27,313.16 = 10,412.12 : x
  2. Step 2: Convert to fraction form
    18,208.78/27,313.16 = 10,412.12/x
  3. Step 3: Cross multiply
    18,208.78x = 27,313.16 × 10,412.12
  4. Step 4: Simplify right side
    18,208.78x = 284,387,899.50
  5. Step 5: Solve for x
    x = 284,387,899.50/18,208.78
  6. Step 6: Final answer
    x = 15,618.17

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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.