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Finding the Fourth Proportional to 12,277.20, 18,415.78 and 3,043.20

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Solution

The fourth proportional to 12,277.20, 18,415.78 and 3,043.20 is: 4,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.20 : 18,415.78 = 3,043.20 : x
  2. Step 2: Convert to fraction form
    12,277.20/18,415.78 = 3,043.20/x
  3. Step 3: Cross multiply
    12,277.20x = 18,415.78 × 3,043.20
  4. Step 4: Simplify right side
    12,277.20x = 56,042,901.70
  5. Step 5: Solve for x
    x = 56,042,901.70/12,277.20
  6. Step 6: Final answer
    x = 4,564.80

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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.