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Finding the Fourth Proportional to 12,435.09, 18,652.63 and 4,112.87

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Solution

The fourth proportional to 12,435.09, 18,652.63 and 4,112.87 is: 6,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.09 : 18,652.63 = 4,112.87 : x
  2. Step 2: Convert to fraction form
    12,435.09/18,652.63 = 4,112.87/x
  3. Step 3: Cross multiply
    12,435.09x = 18,652.63 × 4,112.87
  4. Step 4: Simplify right side
    12,435.09x = 76,715,749.08
  5. Step 5: Solve for x
    x = 76,715,749.08/12,435.09
  6. Step 6: Final answer
    x = 6,169.30

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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.