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Finding the Fourth Proportional to 30,425.84, 41,984.64 and 16,996.81

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Solution

The fourth proportional to 30,425.84, 41,984.64 and 16,996.81 is: 23,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425.84 : 41,984.64 = 16,996.81 : x
  2. Step 2: Convert to fraction form
    30,425.84/41,984.64 = 16,996.81/x
  3. Step 3: Cross multiply
    30,425.84x = 41,984.64 × 16,996.81
  4. Step 4: Simplify right side
    30,425.84x = 713,604,739.08
  5. Step 5: Solve for x
    x = 713,604,739.08/30,425.84
  6. Step 6: Final answer
    x = 23,453.90

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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.