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Finding the Fourth Proportional to 30,136.76, 41,589 and 16,708.28

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Solution

The fourth proportional to 30,136.76, 41,589 and 16,708.28 is: 23,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.76 : 41,589 = 16,708.28 : x
  2. Step 2: Convert to fraction form
    30,136.76/41,589 = 16,708.28/x
  3. Step 3: Cross multiply
    30,136.76x = 41,589 × 16,708.28
  4. Step 4: Simplify right side
    30,136.76x = 694,880,656.92
  5. Step 5: Solve for x
    x = 694,880,656.92/30,136.76
  6. Step 6: Final answer
    x = 23,057.58

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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.