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Finding the Fourth Proportional to 20,949.35, 31,415.78 and 7,619.18

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Solution

The fourth proportional to 20,949.35, 31,415.78 and 7,619.18 is: 11,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,949.35 : 31,415.78 = 7,619.18 : x
  2. Step 2: Convert to fraction form
    20,949.35/31,415.78 = 7,619.18/x
  3. Step 3: Cross multiply
    20,949.35x = 31,415.78 × 7,619.18
  4. Step 4: Simplify right side
    20,949.35x = 239,362,344.63
  5. Step 5: Solve for x
    x = 239,362,344.63/20,949.35
  6. Step 6: Final answer
    x = 11,425.77

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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.