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Finding the Fourth Proportional to 12,908.84, 19,366.50 and 6,338.12

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Solution

The fourth proportional to 12,908.84, 19,366.50 and 6,338.12 is: 9,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.84 : 19,366.50 = 6,338.12 : x
  2. Step 2: Convert to fraction form
    12,908.84/19,366.50 = 6,338.12/x
  3. Step 3: Cross multiply
    12,908.84x = 19,366.50 × 6,338.12
  4. Step 4: Simplify right side
    12,908.84x = 122,747,200.98
  5. Step 5: Solve for x
    x = 122,747,200.98/12,908.84
  6. Step 6: Final answer
    x = 9,508.77

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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.