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Finding the Fourth Proportional to 37,202.84, 55,783.26 and 12,236.14

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Solution

The fourth proportional to 37,202.84, 55,783.26 and 12,236.14 is: 18,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,202.84 : 55,783.26 = 12,236.14 : x
  2. Step 2: Convert to fraction form
    37,202.84/55,783.26 = 12,236.14/x
  3. Step 3: Cross multiply
    37,202.84x = 55,783.26 × 12,236.14
  4. Step 4: Simplify right side
    37,202.84x = 682,571,779.02
  5. Step 5: Solve for x
    x = 682,571,779.02/37,202.84
  6. Step 6: Final answer
    x = 18,347.30

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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.