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Finding the Fourth Proportional to 20,074.52, 27,639.46 and 17,683

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Solution

The fourth proportional to 20,074.52, 27,639.46 and 17,683 is: 24,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074.52 : 27,639.46 = 17,683 : x
  2. Step 2: Convert to fraction form
    20,074.52/27,639.46 = 17,683/x
  3. Step 3: Cross multiply
    20,074.52x = 27,639.46 × 17,683
  4. Step 4: Simplify right side
    20,074.52x = 488,748,571.18
  5. Step 5: Solve for x
    x = 488,748,571.18/20,074.52
  6. Step 6: Final answer
    x = 24,346.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.