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Finding the Fourth Proportional to 12,236.24, 18,365.88 and 8,135.12

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Solution

The fourth proportional to 12,236.24, 18,365.88 and 8,135.12 is: 12,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.24 : 18,365.88 = 8,135.12 : x
  2. Step 2: Convert to fraction form
    12,236.24/18,365.88 = 8,135.12/x
  3. Step 3: Cross multiply
    12,236.24x = 18,365.88 × 8,135.12
  4. Step 4: Simplify right side
    12,236.24x = 149,408,637.71
  5. Step 5: Solve for x
    x = 149,408,637.71/12,236.24
  6. Step 6: Final answer
    x = 12,210.34

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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.