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Finding the Fourth Proportional to 30,884.14, 42,620 and 16,736.94

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Solution

The fourth proportional to 30,884.14, 42,620 and 16,736.94 is: 23,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.14 : 42,620 = 16,736.94 : x
  2. Step 2: Convert to fraction form
    30,884.14/42,620 = 16,736.94/x
  3. Step 3: Cross multiply
    30,884.14x = 42,620 × 16,736.94
  4. Step 4: Simplify right side
    30,884.14x = 713,328,382.80
  5. Step 5: Solve for x
    x = 713,328,382.80/30,884.14
  6. Step 6: Final answer
    x = 23,096.92

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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.