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Finding the Fourth Proportional to 30,998.80, 42,777.84 and 16,852

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Solution

The fourth proportional to 30,998.80, 42,777.84 and 16,852 is: 23,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.80 : 42,777.84 = 16,852 : x
  2. Step 2: Convert to fraction form
    30,998.80/42,777.84 = 16,852/x
  3. Step 3: Cross multiply
    30,998.80x = 42,777.84 × 16,852
  4. Step 4: Simplify right side
    30,998.80x = 720,892,159.68
  5. Step 5: Solve for x
    x = 720,892,159.68/30,998.80
  6. Step 6: Final answer
    x = 23,255.49

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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.