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Finding the Fourth Proportional to 27,231.40, 40,852.92 and 9,462.62

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Solution

The fourth proportional to 27,231.40, 40,852.92 and 9,462.62 is: 14,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.40 : 40,852.92 = 9,462.62 : x
  2. Step 2: Convert to fraction form
    27,231.40/40,852.92 = 9,462.62/x
  3. Step 3: Cross multiply
    27,231.40x = 40,852.92 × 9,462.62
  4. Step 4: Simplify right side
    27,231.40x = 386,575,657.85
  5. Step 5: Solve for x
    x = 386,575,657.85/27,231.40
  6. Step 6: Final answer
    x = 14,195.95

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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.