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Finding the Fourth Proportional to 12,165.96, 18,237.24 and 6,242.88

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Solution

The fourth proportional to 12,165.96, 18,237.24 and 6,242.88 is: 9,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.96 : 18,237.24 = 6,242.88 : x
  2. Step 2: Convert to fraction form
    12,165.96/18,237.24 = 6,242.88/x
  3. Step 3: Cross multiply
    12,165.96x = 18,237.24 × 6,242.88
  4. Step 4: Simplify right side
    12,165.96x = 113,852,900.85
  5. Step 5: Solve for x
    x = 113,852,900.85/12,165.96
  6. Step 6: Final answer
    x = 9,358.32

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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.