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Finding the Fourth Proportional to 12,821.84, 19,217.28 and 6,238.16

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Solution

The fourth proportional to 12,821.84, 19,217.28 and 6,238.16 is: 9,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.84 : 19,217.28 = 6,238.16 : x
  2. Step 2: Convert to fraction form
    12,821.84/19,217.28 = 6,238.16/x
  3. Step 3: Cross multiply
    12,821.84x = 19,217.28 × 6,238.16
  4. Step 4: Simplify right side
    12,821.84x = 119,880,467.40
  5. Step 5: Solve for x
    x = 119,880,467.40/12,821.84
  6. Step 6: Final answer
    x = 9,349.71

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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.