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Finding the Fourth Proportional to 12,304.57, 18,459.76 and 3,984.57

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Solution

The fourth proportional to 12,304.57, 18,459.76 and 3,984.57 is: 5,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.57 : 18,459.76 = 3,984.57 : x
  2. Step 2: Convert to fraction form
    12,304.57/18,459.76 = 3,984.57/x
  3. Step 3: Cross multiply
    12,304.57x = 18,459.76 × 3,984.57
  4. Step 4: Simplify right side
    12,304.57x = 73,554,195.94
  5. Step 5: Solve for x
    x = 73,554,195.94/12,304.57
  6. Step 6: Final answer
    x = 5,977.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.