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Finding the Fourth Proportional to 12,304.53, 18,456.14 and 3,539.10

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Solution

The fourth proportional to 12,304.53, 18,456.14 and 3,539.10 is: 5,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.53 : 18,456.14 = 3,539.10 : x
  2. Step 2: Convert to fraction form
    12,304.53/18,456.14 = 3,539.10/x
  3. Step 3: Cross multiply
    12,304.53x = 18,456.14 × 3,539.10
  4. Step 4: Simplify right side
    12,304.53x = 65,318,041.64
  5. Step 5: Solve for x
    x = 65,318,041.64/12,304.53
  6. Step 6: Final answer
    x = 5,308.46

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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.