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Finding the Fourth Proportional to 12,315.65, 18,475.14 and 3,992.95

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Solution

The fourth proportional to 12,315.65, 18,475.14 and 3,992.95 is: 5,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.65 : 18,475.14 = 3,992.95 : x
  2. Step 2: Convert to fraction form
    12,315.65/18,475.14 = 3,992.95/x
  3. Step 3: Cross multiply
    12,315.65x = 18,475.14 × 3,992.95
  4. Step 4: Simplify right side
    12,315.65x = 73,770,221.95
  5. Step 5: Solve for x
    x = 73,770,221.95/12,315.65
  6. Step 6: Final answer
    x = 5,989.96

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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.