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Finding the Fourth Proportional to 12,203.56, 18,298.14 and 4,801.96

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Solution

The fourth proportional to 12,203.56, 18,298.14 and 4,801.96 is: 7,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.56 : 18,298.14 = 4,801.96 : x
  2. Step 2: Convert to fraction form
    12,203.56/18,298.14 = 4,801.96/x
  3. Step 3: Cross multiply
    12,203.56x = 18,298.14 × 4,801.96
  4. Step 4: Simplify right side
    12,203.56x = 87,866,936.35
  5. Step 5: Solve for x
    x = 87,866,936.35/12,203.56
  6. Step 6: Final answer
    x = 7,200.11

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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.