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Finding the Fourth Proportional to 12,304.12, 18,459.11 and 3,984.14

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Solution

The fourth proportional to 12,304.12, 18,459.11 and 3,984.14 is: 5,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.12 : 18,459.11 = 3,984.14 : x
  2. Step 2: Convert to fraction form
    12,304.12/18,459.11 = 3,984.14/x
  3. Step 3: Cross multiply
    12,304.12x = 18,459.11 × 3,984.14
  4. Step 4: Simplify right side
    12,304.12x = 73,543,678.52
  5. Step 5: Solve for x
    x = 73,543,678.52/12,304.12
  6. Step 6: Final answer
    x = 5,977.16

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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.