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Finding the Fourth Proportional to 20,065.52, 27,627.06 and 17,674

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Solution

The fourth proportional to 20,065.52, 27,627.06 and 17,674 is: 24,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.52 : 27,627.06 = 17,674 : x
  2. Step 2: Convert to fraction form
    20,065.52/27,627.06 = 17,674/x
  3. Step 3: Cross multiply
    20,065.52x = 27,627.06 × 17,674
  4. Step 4: Simplify right side
    20,065.52x = 488,280,658.44
  5. Step 5: Solve for x
    x = 488,280,658.44/20,065.52
  6. Step 6: Final answer
    x = 24,334.31

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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.