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Finding the Fourth Proportional to 30,984.39, 42,759.09 and 16,838.15

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Solution

The fourth proportional to 30,984.39, 42,759.09 and 16,838.15 is: 23,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.39 : 42,759.09 = 16,838.15 : x
  2. Step 2: Convert to fraction form
    30,984.39/42,759.09 = 16,838.15/x
  3. Step 3: Cross multiply
    30,984.39x = 42,759.09 × 16,838.15
  4. Step 4: Simplify right side
    30,984.39x = 719,983,757.49
  5. Step 5: Solve for x
    x = 719,983,757.49/30,984.39
  6. Step 6: Final answer
    x = 23,236.98

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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.