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Finding the Fourth Proportional to 12,306.54, 18,457.73 and 3,539.42

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Solution

The fourth proportional to 12,306.54, 18,457.73 and 3,539.42 is: 5,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.54 : 18,457.73 = 3,539.42 : x
  2. Step 2: Convert to fraction form
    12,306.54/18,457.73 = 3,539.42/x
  3. Step 3: Cross multiply
    12,306.54x = 18,457.73 × 3,539.42
  4. Step 4: Simplify right side
    12,306.54x = 65,329,658.72
  5. Step 5: Solve for x
    x = 65,329,658.72/12,306.54
  6. Step 6: Final answer
    x = 5,308.53

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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.