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Finding the Fourth Proportional to 30,152.80, 41,609.28 and 16,723

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Solution

The fourth proportional to 30,152.80, 41,609.28 and 16,723 is: 23,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.80 : 41,609.28 = 16,723 : x
  2. Step 2: Convert to fraction form
    30,152.80/41,609.28 = 16,723/x
  3. Step 3: Cross multiply
    30,152.80x = 41,609.28 × 16,723
  4. Step 4: Simplify right side
    30,152.80x = 695,831,989.44
  5. Step 5: Solve for x
    x = 695,831,989.44/30,152.80
  6. Step 6: Final answer
    x = 23,076.86

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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.