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Finding the Fourth Proportional to 12,165.12, 18,244.08 and 5,238

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Solution

The fourth proportional to 12,165.12, 18,244.08 and 5,238 is: 7,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.12 : 18,244.08 = 5,238 : x
  2. Step 2: Convert to fraction form
    12,165.12/18,244.08 = 5,238/x
  3. Step 3: Cross multiply
    12,165.12x = 18,244.08 × 5,238
  4. Step 4: Simplify right side
    12,165.12x = 95,562,491.04
  5. Step 5: Solve for x
    x = 95,562,491.04/12,165.12
  6. Step 6: Final answer
    x = 7,855.45

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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.