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Finding the Fourth Proportional to 12,633.84, 18,951.12 and 9,747.36

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Solution

The fourth proportional to 12,633.84, 18,951.12 and 9,747.36 is: 14,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.84 : 18,951.12 = 9,747.36 : x
  2. Step 2: Convert to fraction form
    12,633.84/18,951.12 = 9,747.36/x
  3. Step 3: Cross multiply
    12,633.84x = 18,951.12 × 9,747.36
  4. Step 4: Simplify right side
    12,633.84x = 184,723,389.04
  5. Step 5: Solve for x
    x = 184,723,389.04/12,633.84
  6. Step 6: Final answer
    x = 14,621.32

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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.