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Finding the Fourth Proportional to 27,617.36, 38,105.40 and 15,678.08

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Solution

The fourth proportional to 27,617.36, 38,105.40 and 15,678.08 is: 21,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.36 : 38,105.40 = 15,678.08 : x
  2. Step 2: Convert to fraction form
    27,617.36/38,105.40 = 15,678.08/x
  3. Step 3: Cross multiply
    27,617.36x = 38,105.40 × 15,678.08
  4. Step 4: Simplify right side
    27,617.36x = 597,419,509.63
  5. Step 5: Solve for x
    x = 597,419,509.63/27,617.36
  6. Step 6: Final answer
    x = 21,632.03

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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.