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Finding the Fourth Proportional to 12,283.06, 18,425.94 and 3,519.40

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Solution

The fourth proportional to 12,283.06, 18,425.94 and 3,519.40 is: 5,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.06 : 18,425.94 = 3,519.40 : x
  2. Step 2: Convert to fraction form
    12,283.06/18,425.94 = 3,519.40/x
  3. Step 3: Cross multiply
    12,283.06x = 18,425.94 × 3,519.40
  4. Step 4: Simplify right side
    12,283.06x = 64,848,253.24
  5. Step 5: Solve for x
    x = 64,848,253.24/12,283.06
  6. Step 6: Final answer
    x = 5,279.49

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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.