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Finding the Fourth Proportional to 25,274.33, 37,917.42 and 8,634.50

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Solution

The fourth proportional to 25,274.33, 37,917.42 and 8,634.50 is: 12,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.33 : 37,917.42 = 8,634.50 : x
  2. Step 2: Convert to fraction form
    25,274.33/37,917.42 = 8,634.50/x
  3. Step 3: Cross multiply
    25,274.33x = 37,917.42 × 8,634.50
  4. Step 4: Simplify right side
    25,274.33x = 327,397,883.21
  5. Step 5: Solve for x
    x = 327,397,883.21/25,274.33
  6. Step 6: Final answer
    x = 12,953.77

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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.