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Finding the Fourth Proportional to 27,469.64, 37,908.84 and 15,534.75

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Solution

The fourth proportional to 27,469.64, 37,908.84 and 15,534.75 is: 21,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.64 : 37,908.84 = 15,534.75 : x
  2. Step 2: Convert to fraction form
    27,469.64/37,908.84 = 15,534.75/x
  3. Step 3: Cross multiply
    27,469.64x = 37,908.84 × 15,534.75
  4. Step 4: Simplify right side
    27,469.64x = 588,904,352.19
  5. Step 5: Solve for x
    x = 588,904,352.19/27,469.64
  6. Step 6: Final answer
    x = 21,438.38

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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.