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Finding the Fourth Proportional to 12,203.60, 18,298.46 and 4,804.05

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Solution

The fourth proportional to 12,203.60, 18,298.46 and 4,804.05 is: 7,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.60 : 18,298.46 = 4,804.05 : x
  2. Step 2: Convert to fraction form
    12,203.60/18,298.46 = 4,804.05/x
  3. Step 3: Cross multiply
    12,203.60x = 18,298.46 × 4,804.05
  4. Step 4: Simplify right side
    12,203.60x = 87,906,716.76
  5. Step 5: Solve for x
    x = 87,906,716.76/12,203.60
  6. Step 6: Final answer
    x = 7,203.34

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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.