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Finding the Fourth Proportional to 12,449.50, 18,628.11 and 9,976.82

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Solution

The fourth proportional to 12,449.50, 18,628.11 and 9,976.82 is: 14,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.50 : 18,628.11 = 9,976.82 : x
  2. Step 2: Convert to fraction form
    12,449.50/18,628.11 = 9,976.82/x
  3. Step 3: Cross multiply
    12,449.50x = 18,628.11 × 9,976.82
  4. Step 4: Simplify right side
    12,449.50x = 185,849,354.14
  5. Step 5: Solve for x
    x = 185,849,354.14/12,449.50
  6. Step 6: Final answer
    x = 14,928.26

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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.